├── .gitignore ├── .travis.yml ├── LICENSE ├── README.md ├── bls ├── __init__.py ├── scheme.py └── utils.py ├── docs ├── Makefile ├── conf.py ├── index.rst └── make.bat ├── setup.cfg ├── setup.py ├── tests ├── __init__.py └── test_bls.py └── tox.ini /.gitignore: -------------------------------------------------------------------------------- 1 | # Remove macOS .DS_Store 2 | .DS_Store 3 | 4 | # Byte-compiled / optimized / DLL files 5 | __pycache__/ 6 | *.py[cod] 7 | *$py.class 8 | 9 | # C extensions 10 | *.so 11 | 12 | # Distribution / packaging 13 | .Python 14 | env/ 15 | build/ 16 | develop-eggs/ 17 | dist/ 18 | downloads/ 19 | eggs/ 20 | .eggs/ 21 | lib/ 22 | lib64/ 23 | parts/ 24 | sdist/ 25 | var/ 26 | wheels/ 27 | *.egg-info/ 28 | .installed.cfg 29 | *.egg 30 | 31 | # PyInstaller 32 | # Usually these files are written by a python script from a template 33 | # before PyInstaller builds the exe, so as to inject date/other infos into it. 34 | *.manifest 35 | *.spec 36 | 37 | # Installer logs 38 | pip-log.txt 39 | pip-delete-this-directory.txt 40 | 41 | # Unit test / coverage reports 42 | htmlcov/ 43 | .tox/ 44 | .coverage 45 | .coverage.* 46 | .cache 47 | nosetests.xml 48 | coverage.xml 49 | *.cover 50 | .hypothesis/ 51 | 52 | # Translations 53 | *.mo 54 | *.pot 55 | 56 | # Django stuff: 57 | *.log 58 | local_settings.py 59 | 60 | # Flask stuff: 61 | instance/ 62 | .webassets-cache 63 | 64 | # Scrapy stuff: 65 | .scrapy 66 | 67 | # Sphinx documentation 68 | docs/_build/ 69 | 70 | # PyBuilder 71 | target/ 72 | 73 | # Jupyter Notebook 74 | .ipynb_checkpoints 75 | 76 | # pyenv 77 | .python-version 78 | 79 | # celery beat schedule file 80 | celerybeat-schedule 81 | 82 | # SageMath parsed files 83 | *.sage.py 84 | 85 | # dotenv 86 | .env 87 | 88 | # virtualenv 89 | .venv 90 | venv/ 91 | ENV/ 92 | 93 | # Spyder project settings 94 | .spyderproject 95 | .spyproject 96 | 97 | # Rope project settings 98 | .ropeproject 99 | 100 | # mkdocs documentation 101 | /site 102 | 103 | # mypy 104 | .mypy_cache/ 105 | -------------------------------------------------------------------------------- /.travis.yml: -------------------------------------------------------------------------------- 1 | language: python 2 | 3 | python: 4 | - "3.6" 5 | 6 | # command to install dependencies 7 | install: 8 | - pip install tox-travis 9 | 10 | 11 | # command to run tests 12 | script: tox 13 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | GNU GENERAL PUBLIC LICENSE 2 | Version 3, 29 June 2007 3 | 4 | Copyright (C) 2007 Free Software Foundation, Inc. 5 | Everyone is permitted to copy and distribute verbatim copies 6 | of this license document, but changing it is not allowed. 7 | 8 | Preamble 9 | 10 | The GNU General Public License is a free, copyleft license for 11 | software and other kinds of works. 12 | 13 | The licenses for most software and other practical works are designed 14 | to take away your freedom to share and change the works. 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Limitation of Liability. 601 | 602 | IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING 603 | WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS 604 | THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY 605 | GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE 606 | USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF 607 | DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD 608 | PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), 609 | EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF 610 | SUCH DAMAGES. 611 | 612 | 17. Interpretation of Sections 15 and 16. 613 | 614 | If the disclaimer of warranty and limitation of liability provided 615 | above cannot be given local legal effect according to their terms, 616 | reviewing courts shall apply local law that most closely approximates 617 | an absolute waiver of all civil liability in connection with the 618 | Program, unless a warranty or assumption of liability accompanies a 619 | copy of the Program in return for a fee. 620 | 621 | END OF TERMS AND CONDITIONS 622 | 623 | How to Apply These Terms to Your New Programs 624 | 625 | If you develop a new program, and you want it to be of the greatest 626 | possible use to the public, the best way to achieve this is to make it 627 | free software which everyone can redistribute and change under these terms. 628 | 629 | To do so, attach the following notices to the program. It is safest 630 | to attach them to the start of each source file to most effectively 631 | state the exclusion of warranty; and each file should have at least 632 | the "copyright" line and a pointer to where the full notice is found. 633 | 634 | {one line to give the program's name and a brief idea of what it does.} 635 | Copyright (C) 2018 {name of author} 636 | 637 | This program is free software: you can redistribute it and/or modify 638 | it under the terms of the GNU General Public License as published by 639 | the Free Software Foundation, either version 3 of the License, or 640 | (at your option) any later version. 641 | 642 | This program is distributed in the hope that it will be useful, 643 | but WITHOUT ANY WARRANTY; without even the implied warranty of 644 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 645 | GNU General Public License for more details. 646 | 647 | You should have received a copy of the GNU General Public License 648 | along with this program. If not, see . 649 | 650 | Also add information on how to contact you by electronic and paper mail. 651 | 652 | If the program does terminal interaction, make it output a short 653 | notice like this when it starts in an interactive mode: 654 | 655 | ambient-hue Copyright (C) 2018 lsonnino 656 | This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. 657 | This is free software, and you are welcome to redistribute it 658 | under certain conditions; type `show c' for details. 659 | 660 | The hypothetical commands `show w' and `show c' should show the appropriate 661 | parts of the General Public License. Of course, your program's commands 662 | might be different; for a GUI interface, you would use an "about box". 663 | 664 | You should also get your employer (if you work as a programmer) or school, 665 | if any, to sign a "copyright disclaimer" for the program, if necessary. 666 | For more information on this, and how to apply and follow the GNU GPL, see 667 | . 668 | 669 | The GNU General Public License does not permit incorporating your program 670 | into proprietary programs. If your program is a subroutine library, you 671 | may consider it more useful to permit linking proprietary applications with 672 | the library. If this is what you want to do, use the GNU Lesser General 673 | Public License instead of this License. But first, please read 674 | . -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # BLS Signatures 2 | [![license](https://img.shields.io/badge/license-GPL3-brightgreen.svg)](https://github.com/asonnino/bls/blob/master/LICENSE) 3 | [![Documentation Status](https://readthedocs.org/projects/bls-lib/badge/?version=latest)](https://bls-lib.readthedocs.io/en/latest/?badge=latest) 4 | 5 | A simple Python implementation of threshold BLS signatures. 6 | 7 | A link to the full paper is available at the following address: [https://iacr.org/archive/asiacrypt2001/22480516.pdf](https://iacr.org/archive/asiacrypt2001/22480516.pdf) 8 | 9 | 10 | ## Pre-requisites 11 | This implementation is built on top of [petlib](https://github.com/gdanezis/petlib) and [bplib](https://github.com/gdanezis/bplib), make sure to follow [these instructions](https://github.com/gdanezis/petlib#pre-requisites) to install all the pre-requisites. 12 | 13 | 14 | ## Install 15 | If you have `pip` installed, you can install **bls** with the following command: 16 | ``` 17 | $ pip install bls-lib 18 | ``` 19 | otherwise, you can build it manually as below: 20 | ``` 21 | $ git clone https://github.com/asonnino/bls 22 | $ cd bls 23 | $ pip install -e . 24 | ``` 25 | 26 | 27 | ## Test 28 | Tests can be run as follows: 29 | ``` 30 | $ pytest -v --cov=bls tests/ 31 | ``` 32 | or simply using tox: 33 | ``` 34 | $ tox 35 | ``` 36 | 37 | ## License 38 | [The GPLv3 license](https://www.gnu.org/licenses/gpl-3.0.en.html) 39 | -------------------------------------------------------------------------------- /bls/__init__.py: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/asonnino/bls/4c693fb4e730ea729f08d288315a9088ec24ed04/bls/__init__.py -------------------------------------------------------------------------------- /bls/scheme.py: -------------------------------------------------------------------------------- 1 | """ 2 | BLS signature scheme. 3 | Example: 4 | >>> m = [3] * 2 # messages 5 | >>> t, n = 2, 3 # number of authorities 6 | >>> params = setup() # generate the public parameters. 7 | >>> (sk, vk) = ttp_keygen(params, t, n) # generate key 8 | >>> aggr_vk = aggregate_vk(params, vk) # aggregate verification keys 9 | >>> sigs = [sign(params, ski, m) for ski in sk] # sign 10 | >>> sigma = aggregate_sigma(params, sigs) # aggregate credentials 11 | >>> assert verify(params, aggr_vk, sigma, m) # verify signature 12 | """ 13 | from bplib.bp import BpGroup, G2Elem 14 | from bls.utils import * 15 | 16 | 17 | def setup(): 18 | """ 19 | Generate the public parameters. 20 | 21 | Returns: 22 | - params: the publc parameters 23 | """ 24 | G = BpGroup() 25 | (g1, g2) = G.gen1(), G.gen2() 26 | (e, o) = G.pair, G.order() 27 | return (G, o, g1, g2, e) 28 | 29 | 30 | def ttp_keygen(params, t, n): 31 | """ 32 | Generate keys for threshold signature (executed by a TTP). 33 | 34 | Parameters: 35 | - `params`: public parameters generated by `setup` 36 | - `t` (integer): the threshold parameter 37 | - `n` (integer): the total number of authorities 38 | 39 | Returns: 40 | - `sk` [Bn]: array containing the secret key of each authority 41 | - `vk` [G2Elem]: array containing the verification key of each authority 42 | """ 43 | assert n >= t and t > 0 44 | (G, o, g1, g2, e) = params 45 | # generate polynomials 46 | v = [o.random() for _ in range(0,t)] 47 | # generate shares 48 | sk = [poly_eval(v,i) % o for i in range(1,n+1)] 49 | # set keys 50 | vk = [xi*g2 for xi in sk] 51 | return (sk, vk) 52 | 53 | 54 | def aggregate_vk(params, vks, threshold=True): 55 | """ 56 | Aggregate the verification keys. 57 | 58 | Parameters: 59 | - `params`: public parameters generated by `setup` 60 | - `vks` [G2Elem]: array containing the verification key of each authority 61 | - `threshold` (bool): optional, whether to use threshold cryptography or not 62 | 63 | Returns: 64 | - `aggr_vk` (G2Elem): aggregated verification key 65 | """ 66 | (G, o, g1, g2, e) = params 67 | # evaluate all lagrange basis polynomial li(0) 68 | filter = [vk for vk in vks if vk is not None] 69 | indexes = [i+1 for i, vk in enumerate(vks) if vk is not None] 70 | l = lagrange_basis(indexes, o) if threshold else [1 for _ in vks] 71 | # aggregate keys 72 | aggr_vk = ec_sum([l[i]*filter[i] for i in range(len(filter))]) 73 | return aggr_vk 74 | 75 | 76 | def sign(params, sk, m): 77 | """ 78 | Sign messages. 79 | 80 | Parameters: 81 | - `params`: public parameters generated by `setup` 82 | - `sk` (Bn): the secret key of the authority 83 | - `m` [Bn]: array containing the messages 84 | 85 | Returns: 86 | - `sigma_tilde` (G1Elem, G1Elem): blinded credential 87 | """ 88 | assert len(m) > 0 89 | (G, o, g1, g2, e) = params 90 | digest = hash(m) 91 | h = G.hashG1(digest) 92 | sigma = sk*h 93 | return sigma 94 | 95 | 96 | def aggregate_sigma(params, sigs, threshold=True): 97 | """ 98 | Aggregate partial signatures. 99 | 100 | Parameters: 101 | - `params`: public parameters generated by `setup` 102 | - `sigs` [G1Elem]: array of partial credentials 103 | - `threshold` (bool): optional, whether to use threshold cryptography or not 104 | 105 | Returns: 106 | - `aggr_sigma` (G1Elem): aggregated credential 107 | """ 108 | (G, o, g1, g2, e) = params 109 | # evaluate all lagrange basis polynomial li(0) 110 | filter = [sig for sig in sigs if sig is not None] 111 | indexes = [i+1 for i, sig in enumerate(sigs) if sig is not None] 112 | l = lagrange_basis(indexes, o) if threshold else [1 for _ in sigs] 113 | # aggregate sigature 114 | aggr_s = ec_sum([l[i]*filter[i] for i in range(len(filter))]) 115 | return aggr_s 116 | 117 | 118 | def verify(params, aggr_vk, sigma, m): 119 | """ 120 | Verify signature. 121 | 122 | Parameters: 123 | - `params`: public parameters generated by `setup` 124 | - `aggr_vk` (G2Elem): aggregated verification key 125 | - `sigma` (G1Elem): signature 126 | - `m` [Bn]: array containing the messages 127 | 128 | Returns: 129 | - `ret` (bool): whether the credential verifies 130 | """ 131 | (G, o, g1, g2, e) = params 132 | digest = hash(m) 133 | h = G.hashG1(digest) 134 | return not h.isinf() and e(sigma, g2) == e(h, aggr_vk) 135 | -------------------------------------------------------------------------------- /bls/utils.py: -------------------------------------------------------------------------------- 1 | """ Utilities """ 2 | from hashlib import sha256 3 | from petlib.bn import Bn 4 | 5 | 6 | # ================================================== 7 | # polynomial utilities 8 | # ================================================== 9 | def poly_eval(coeff, x): 10 | """ evaluate a polynomial defined by the list of coefficient coeff at point x """ 11 | return sum([coeff[i] * (Bn(x) ** i) for i in range(len(coeff))]) 12 | 13 | 14 | def lagrange_basis(indexes, o, x=0): 15 | """ generates all lagrange basis polynomials """ 16 | l = [] 17 | for i in indexes: 18 | numerator, denominator = 1, 1 19 | for j in indexes: 20 | if j != i: 21 | numerator = (numerator * (x - j)) % o 22 | denominator = (denominator * (i - j)) % o 23 | l.append((numerator * denominator.mod_inverse(o)) % o) 24 | return l 25 | 26 | 27 | # ================================================== 28 | # other 29 | # ================================================== 30 | def ec_sum(list): 31 | """ sum EC points list """ 32 | ret = list[0] 33 | for i in range(1, len(list)): 34 | ret = ret + list[i] 35 | return ret 36 | 37 | 38 | def hash(elements): 39 | """ generates a Bn hash by hashing a number of EC points """ 40 | Cstring = ",".join([str(x) for x in elements]) 41 | return sha256(Cstring.encode()).digest() 42 | -------------------------------------------------------------------------------- /docs/Makefile: -------------------------------------------------------------------------------- 1 | # Minimal makefile for Sphinx documentation 2 | # 3 | 4 | # You can set these variables from the command line. 5 | SPHINXOPTS = 6 | SPHINXBUILD = sphinx-build 7 | SPHINXPROJ = BLS 8 | SOURCEDIR = . 9 | BUILDDIR = _build 10 | 11 | # Put it first so that "make" without argument is like "make help". 12 | help: 13 | @$(SPHINXBUILD) -M help "$(SOURCEDIR)" "$(BUILDDIR)" $(SPHINXOPTS) $(O) 14 | 15 | .PHONY: help Makefile 16 | 17 | # Catch-all target: route all unknown targets to Sphinx using the new 18 | # "make mode" option. $(O) is meant as a shortcut for $(SPHINXOPTS). 19 | %: Makefile 20 | @$(SPHINXBUILD) -M $@ "$(SOURCEDIR)" "$(BUILDDIR)" $(SPHINXOPTS) $(O) -------------------------------------------------------------------------------- /docs/conf.py: -------------------------------------------------------------------------------- 1 | # -*- coding: utf-8 -*- 2 | # 3 | # Configuration file for the Sphinx documentation builder. 4 | # 5 | # This file does only contain a selection of the most common options. For a 6 | # full list see the documentation: 7 | # http://www.sphinx-doc.org/en/master/config 8 | 9 | # -- Path setup -------------------------------------------------------------- 10 | 11 | # If extensions (or modules to document with autodoc) are in another directory, 12 | # add these directories to sys.path here. If the directory is relative to the 13 | # documentation root, use os.path.abspath to make it absolute, like shown here. 14 | # 15 | import os 16 | import sys 17 | from mock import Mock as MagicMock 18 | 19 | class Mock(MagicMock): 20 | @classmethod 21 | def __getattr__(cls, name): 22 | return Mock() 23 | 24 | MOCK_MODULES = ['bplib', 'bplib.bp', 'bplib.bp.BpGroup', 'bplib.bp.G2Elem'] 25 | sys.modules.update((mod_name, Mock()) for mod_name in MOCK_MODULES) 26 | 27 | sys.path.insert(0, os.path.abspath('..')) 28 | 29 | 30 | 31 | # -- Project information ----------------------------------------------------- 32 | 33 | project = 'BLS' 34 | copyright = '2018, Alberto Sonnino' 35 | author = 'Alberto Sonnino' 36 | 37 | # The short X.Y version 38 | version = '' 39 | # The full version, including alpha/beta/rc tags 40 | release = '1.0.0' 41 | 42 | 43 | # -- General configuration --------------------------------------------------- 44 | 45 | # If your documentation needs a minimal Sphinx version, state it here. 46 | # 47 | # needs_sphinx = '1.0' 48 | 49 | # Add any Sphinx extension module names here, as strings. They can be 50 | # extensions coming with Sphinx (named 'sphinx.ext.*') or your custom 51 | # ones. 52 | extensions = [ 53 | 'sphinx.ext.autodoc', 54 | 'sphinx.ext.doctest', 55 | 'sphinx.ext.intersphinx', 56 | 'sphinx.ext.coverage', 57 | 'sphinx.ext.mathjax', 58 | 'sphinx.ext.ifconfig', 59 | 'sphinx.ext.viewcode', 60 | 'sphinx.ext.githubpages', 61 | ] 62 | 63 | # Add any paths that contain templates here, relative to this directory. 64 | templates_path = ['_templates'] 65 | 66 | # The suffix(es) of source filenames. 67 | # You can specify multiple suffix as a list of string: 68 | # 69 | # source_suffix = ['.rst', '.md'] 70 | source_suffix = '.rst' 71 | 72 | # The master toctree document. 73 | master_doc = 'index' 74 | 75 | # The language for content autogenerated by Sphinx. Refer to documentation 76 | # for a list of supported languages. 77 | # 78 | # This is also used if you do content translation via gettext catalogs. 79 | # Usually you set "language" from the command line for these cases. 80 | language = None 81 | 82 | # List of patterns, relative to source directory, that match files and 83 | # directories to ignore when looking for source files. 84 | # This pattern also affects html_static_path and html_extra_path . 85 | exclude_patterns = ['_build', 'Thumbs.db', '.DS_Store'] 86 | 87 | # The name of the Pygments (syntax highlighting) style to use. 88 | pygments_style = 'sphinx' 89 | 90 | 91 | # -- Options for HTML output ------------------------------------------------- 92 | 93 | # The theme to use for HTML and HTML Help pages. See the documentation for 94 | # a list of builtin themes. 95 | # 96 | html_theme = 'alabaster' 97 | 98 | # Theme options are theme-specific and customize the look and feel of a theme 99 | # further. For a list of options available for each theme, see the 100 | # documentation. 101 | # 102 | # html_theme_options = {} 103 | 104 | # Add any paths that contain custom static files (such as style sheets) here, 105 | # relative to this directory. They are copied after the builtin static files, 106 | # so a file named "default.css" will overwrite the builtin "default.css". 107 | html_static_path = ['_static'] 108 | 109 | # Custom sidebar templates, must be a dictionary that maps document names 110 | # to template names. 111 | # 112 | # The default sidebars (for documents that don't match any pattern) are 113 | # defined by theme itself. Builtin themes are using these templates by 114 | # default: ``['localtoc.html', 'relations.html', 'sourcelink.html', 115 | # 'searchbox.html']``. 116 | # 117 | # html_sidebars = {} 118 | 119 | 120 | # -- Options for HTMLHelp output --------------------------------------------- 121 | 122 | # Output file base name for HTML help builder. 123 | htmlhelp_basename = 'BLSdoc' 124 | 125 | 126 | # -- Options for LaTeX output ------------------------------------------------ 127 | 128 | latex_elements = { 129 | # The paper size ('letterpaper' or 'a4paper'). 130 | # 131 | # 'papersize': 'letterpaper', 132 | 133 | # The font size ('10pt', '11pt' or '12pt'). 134 | # 135 | # 'pointsize': '10pt', 136 | 137 | # Additional stuff for the LaTeX preamble. 138 | # 139 | # 'preamble': '', 140 | 141 | # Latex figure (float) alignment 142 | # 143 | # 'figure_align': 'htbp', 144 | } 145 | 146 | # Grouping the document tree into LaTeX files. List of tuples 147 | # (source start file, target name, title, 148 | # author, documentclass [howto, manual, or own class]). 149 | latex_documents = [ 150 | (master_doc, 'BLS.tex', 'BLS Documentation', 151 | 'Alberto Sonnino', 'manual'), 152 | ] 153 | 154 | 155 | # -- Options for manual page output ------------------------------------------ 156 | 157 | # One entry per manual page. List of tuples 158 | # (source start file, name, description, authors, manual section). 159 | man_pages = [ 160 | (master_doc, 'bls', 'BLS Documentation', 161 | [author], 1) 162 | ] 163 | 164 | 165 | # -- Options for Texinfo output ---------------------------------------------- 166 | 167 | # Grouping the document tree into Texinfo files. List of tuples 168 | # (source start file, target name, title, author, 169 | # dir menu entry, description, category) 170 | texinfo_documents = [ 171 | (master_doc, 'BLS', 'BLS Documentation', 172 | author, 'BLS', 'A simple Python implementation of threshold BLS signatures.', 173 | 'Miscellaneous'), 174 | ] 175 | 176 | 177 | # -- Extension configuration ------------------------------------------------- 178 | 179 | add_module_names = False 180 | add_function_parentheses = True 181 | 182 | 183 | -------------------------------------------------------------------------------- /docs/index.rst: -------------------------------------------------------------------------------- 1 | .. BLS documentation master file, created by 2 | sphinx-quickstart on Wed May 23 12:24:34 2018. 3 | You can adapt this file completely to your liking, but it should at least 4 | contain the root `toctree` directive. 5 | 6 | Welcome to BLS's documentation! 7 | =============================== 8 | 9 | .. toctree:: 10 | :maxdepth: 2 11 | :caption: Contents: 12 | 13 | .. image:: https://img.shields.io/badge/license-BSD-brightgreen.svg 14 | :target: https://github.com/asonnino/bls/blob/master/LICENSE 15 | 16 | .. image:: https://travis-ci.org/asonnino/bls.svg?branch=master 17 | :target: https://travis-ci.org/asonnino/bls 18 | 19 | .. image:: https://readthedocs.org/projects/bls-lib/badge/?version=latest 20 | :target: https://bls-lib.readthedocs.io/en/latest/?badge=latest 21 | :alt: Documentation Status 22 | 23 | 24 | A simple Python implementation of threshold BLS signatures. 25 | 26 | A link to the full paper is available here_. 27 | 28 | .. _here: https://iacr.org/archive/asiacrypt2001/22480516.pdf 29 | 30 | 31 | Pre-requisites 32 | -------------- 33 | This implementation is built on top of petlib_ , make sure to follow `these instructions`_ to install all the pre-requisites. 34 | 35 | .. _petlib: https://github.com/gdanezis/petlib 36 | .. _`these instructions`: https://github.com/gdanezis/petlib#pre-requisites 37 | 38 | 39 | Install 40 | ------- 41 | 42 | If you have `pip` installed, you can install **Coconut** with the following command: 43 | 44 | .. code-block:: none 45 | 46 | pip install bls-lib 47 | 48 | 49 | otherwise, you can build it manually as below: 50 | 51 | .. code-block:: none 52 | 53 | git clone https://github.com/asonnino/bls 54 | cd bls 55 | pip install -e . 56 | 57 | 58 | Test 59 | ---- 60 | 61 | Tests can be run as follows: 62 | 63 | .. code-block:: none 64 | 65 | pytest -v --cov=bls tests/ 66 | 67 | or simply using tox: 68 | 69 | .. code-block:: none 70 | 71 | tox 72 | 73 | 74 | BLS Modules 75 | ----------- 76 | .. automodule:: bls 77 | 78 | .. automodule:: bls.scheme 79 | 80 | .. autofunction:: bls.scheme.setup() 81 | 82 | .. autofunction:: bls.scheme.ttp_keygen(params, t, n) 83 | 84 | .. autofunction:: bls.scheme.aggregate_vk(params, vk, threshold=True) 85 | 86 | .. autofunction:: bls.scheme.sign(params, sk, m) 87 | 88 | .. autofunction:: bls.scheme.aggregate_sigma(params, sigs, threshold=True) 89 | 90 | .. autofunction:: bls.scheme.verify(params, aggr_vk, sigma, m) 91 | 92 | 93 | Indices and tables 94 | ================== 95 | 96 | * :ref:`genindex` 97 | * :ref:`modindex` 98 | * :ref:`search` 99 | 100 | 101 | License 102 | ================== 103 | `The BSD license`_ 104 | 105 | .. _`The BSD license`: https://opensource.org/licenses/BSD-3-Clause 106 | -------------------------------------------------------------------------------- /docs/make.bat: -------------------------------------------------------------------------------- 1 | @ECHO OFF 2 | 3 | pushd %~dp0 4 | 5 | REM Command file for Sphinx documentation 6 | 7 | if "%SPHINXBUILD%" == "" ( 8 | set SPHINXBUILD=sphinx-build 9 | ) 10 | set SOURCEDIR=. 11 | set BUILDDIR=_build 12 | set SPHINXPROJ=BLS 13 | 14 | if "%1" == "" goto help 15 | 16 | %SPHINXBUILD% >NUL 2>NUL 17 | if errorlevel 9009 ( 18 | echo. 19 | echo.The 'sphinx-build' command was not found. Make sure you have Sphinx 20 | echo.installed, then set the SPHINXBUILD environment variable to point 21 | echo.to the full path of the 'sphinx-build' executable. Alternatively you 22 | echo.may add the Sphinx directory to PATH. 23 | echo. 24 | echo.If you don't have Sphinx installed, grab it from 25 | echo.http://sphinx-doc.org/ 26 | exit /b 1 27 | ) 28 | 29 | %SPHINXBUILD% -M %1 %SOURCEDIR% %BUILDDIR% %SPHINXOPTS% 30 | goto end 31 | 32 | :help 33 | %SPHINXBUILD% -M help %SOURCEDIR% %BUILDDIR% %SPHINXOPTS% 34 | 35 | :end 36 | popd 37 | -------------------------------------------------------------------------------- /setup.cfg: -------------------------------------------------------------------------------- 1 | [metadata] 2 | # This includes the license file in the wheel. 3 | license_file = LICENSE 4 | 5 | [bdist_wheel] 6 | # This flag says to generate wheels that support both Python 2 and Python 7 | # 3. If your code will not run unchanged on both Python 2 and 3, you will 8 | # need to generate separate wheels for each Python version that you 9 | # support. Removing this line (or setting universal to 0) will prevent 10 | # bdist_wheel from trying to make a universal wheel. For more see: 11 | # https://packaging.python.org/tutorials/distributing-packages/#wheels 12 | universal=0 -------------------------------------------------------------------------------- /setup.py: -------------------------------------------------------------------------------- 1 | """ A setuptools based setup module. """ 2 | 3 | 4 | from setuptools import setup, find_packages 5 | from codecs import open 6 | from os import path 7 | 8 | here = path.abspath(path.dirname(__file__)) 9 | 10 | # Get the long description from the README file 11 | with open(path.join(here, 'README.md'), encoding='utf-8') as f: 12 | long_description = f.read() 13 | 14 | 15 | setup( 16 | # This is the name of your project. 17 | name='bls-lib', # Required 18 | 19 | # Versions. 20 | version='1.0.1', # Required 21 | 22 | # One-line description. 23 | description='A simple Python implementation of threshold BLS signatures.', # Required 24 | 25 | # Longer description, 26 | long_description=long_description, # Optional 27 | 28 | # Denotes that the long_description is in Markdown. 29 | long_description_content_type='text/markdown', # Optional 30 | 31 | # Link to the project's main homepage. 32 | url='https://pypi.org/project/bls-lib', # Optional 33 | 34 | # Author of the project. 35 | author='Alberto Sonnino', # Optional 36 | 37 | # Email address corresponding to the author listed above. 38 | author_email='alberto.sonnino@ucl.ac.uk', # Optional 39 | 40 | # Classifiers help users find your project by categorizing it. 41 | # For a list of valid classifiers, see https://pypi.org/classifiers/ 42 | classifiers=[ # Optional 43 | # How mature is this project? Common values are 44 | # 3 - Alpha 45 | # 4 - Beta 46 | # 5 - Production/Stable 47 | 'Development Status :: 3 - Alpha', 48 | 49 | # Indicate who your project is intended for 50 | 'Intended Audience :: Science/Research', 51 | 'Topic :: Security :: Cryptography', 52 | 53 | # License as you wish 54 | 'License :: OSI Approved :: GNU General Public License v3 or later (GPLv3+)', 55 | 56 | # Specify the Python versions are supported. 57 | 'Programming Language :: Python :: 3.6', 58 | ], 59 | 60 | # This field adds keywords to the project which will appear on the 61 | # project page. 62 | # 63 | # Note that this is a string of words separated by whitespace, not a list. 64 | keywords='cryptography signatures digital-signatures threhshold-cryptography', # Optional 65 | 66 | # You can just specify package directories manually here if your project is 67 | # simple. Or you can use find_packages(). 68 | # 69 | # Alternatively, if you just want to distribute a single Python file, use 70 | # the `py_modules` argument instead as follows, which will expect a file 71 | # called `my_module.py` to exist: 72 | # 73 | # py_modules=["my_module"], 74 | # 75 | packages=find_packages(exclude=['contrib', 'docs', 'tests']), # Required 76 | 77 | # This field lists other packages that the project depends on to run. 78 | # Any package put here will be installed by pip when the project is 79 | # installed, so they must be valid existing projects. 80 | # 81 | # For an analysis of "install_requires" vs pip's requirements files see: 82 | # https://packaging.python.org/en/latest/requirements.html 83 | install_requires=['petlib', 'bplib'], # Optional 84 | 85 | # List additional groups of dependencies here (e.g. development 86 | # dependencies). Users will be able to install these using the "extras" 87 | # syntax, for example: 88 | # 89 | # $ pip install sampleproject[dev] 90 | # 91 | # Similar to `install_requires` above, these must be valid existing 92 | # projects. 93 | ##extras_require={ # Optional 94 | ## 'dev': ['check-manifest'], 95 | ## 'test': ['coverage'], 96 | ##}, 97 | 98 | # If there are data files included in your packages that need to be 99 | # installed, specify them here. 100 | # 101 | # If using Python 2.6 or earlier, then these have to be included in 102 | # MANIFEST.in as well. 103 | ##package_data={ # Optional 104 | ## 'sample': ['package_data.dat'], 105 | ##}, 106 | 107 | # Although 'package_data' is the preferred approach, in some case you may 108 | # need to place data files outside of your packages. See: 109 | # http://docs.python.org/3.4/distutils/setupscript.html#installing-additional-files 110 | # 111 | # In this case, 'data_file' will be installed into '/my_data' 112 | ##data_files=[('my_data', ['data/data_file'])], # Optional 113 | 114 | # To provide executable scripts, use entry points in preference to the 115 | # "scripts" keyword. Entry points provide cross-platform support and allow 116 | # `pip` to create the appropriate form of executable for the target 117 | # platform. 118 | # 119 | # For example, the following would provide a command called `sample` which 120 | # executes the function `main` from this package when invoked: 121 | ##entry_points={ # Optional 122 | ## 'console_scripts': [ 123 | ## 'sample=sample:main', 124 | ## ], 125 | ##}, 126 | 127 | # List additional URLs that are relevant to your project as a dict. 128 | # 129 | # This field corresponds to the "Project-URL" metadata fields: 130 | # https://packaging.python.org/specifications/core-metadata/#project-url-multiple-use 131 | # 132 | # Examples listed include a pattern for specifying where the package tracks 133 | # issues, where the source is hosted, where to say thanks to the package 134 | # maintainers, and where to support the project financially. The key is 135 | # what's used to render the link text on PyPI. 136 | project_urls={ # Optional 137 | 'Paper' : 'https://iacr.org/archive/asiacrypt2001/22480516.pdf', 138 | 'Bug Reports': 'https://github.com/asonnino/bls', 139 | 'Source': 'https://github.com/asonnino/bls', 140 | }, 141 | ) 142 | -------------------------------------------------------------------------------- /tests/__init__.py: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/asonnino/bls/4c693fb4e730ea729f08d288315a9088ec24ed04/tests/__init__.py -------------------------------------------------------------------------------- /tests/test_bls.py: -------------------------------------------------------------------------------- 1 | from bls.scheme import * 2 | 3 | 4 | def test_threshold_authorities(): 5 | m = [3] * 2 # messages 6 | t, n = 19, 20 # number of authorities 7 | params = setup() 8 | 9 | # generate key 10 | (sk, vk) = ttp_keygen(params, t, n) 11 | 12 | # aggregate verification keys 13 | aggr_vk = aggregate_vk(params, vk) 14 | 15 | # sign 16 | sigs = [sign(params, ski, m) for ski in sk] 17 | 18 | # aggregate credentials 19 | sigs[1] = None 20 | sigma = aggregate_sigma(params, sigs) 21 | 22 | # verify signature 23 | assert verify(params, aggr_vk, sigma, m) 24 | 25 | 26 | def test_multi_authorities(): 27 | m = [3] * 2 # messages 28 | n = 3 # number of authorities 29 | params = setup() 30 | 31 | # generate key 32 | (sk, vk) = ttp_keygen(params, n, n) 33 | 34 | # aggregate verification keys 35 | aggr_vk = aggregate_vk(params, vk, threshold=False) 36 | 37 | # sign 38 | sigs = [sign(params, ski, m) for ski in sk] 39 | 40 | # aggregate credentials 41 | sigma = aggregate_sigma(params, sigs, threshold=False) 42 | 43 | # verify signature 44 | assert verify(params, aggr_vk, sigma, m) 45 | -------------------------------------------------------------------------------- /tox.ini: -------------------------------------------------------------------------------- 1 | # content of: tox.ini 2 | [tox] 3 | envlist = py36 4 | 5 | [testenv] 6 | changedir = tests 7 | deps = pytest 8 | --------------------------------------------------------------------------------