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ECDSA.py

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################################################################################
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# ECDSA Signature
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# Python implementation (needs Python EllipticCurve module)
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# Author: Robert Campbell, <campbell@math.umbc.edu>
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# Author: Robert Campbell, <r.campbel.256@gmail.com>
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# Date: 1 June, 2014
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# Version 0.3
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# License: Simplified BSD (see details at bottom)

ellipticcurve.py

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################################################################################
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# Elliptic Curve
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# Elliptic curves in reduced Weierstrass form over prime order fields
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# Author: Robert Campbell, <campbell@math.umbc.edu>
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# Author: Robert Campbell, <r.campbel.256@gmail.com>
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# Date: 18 May, 2014
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# Version 0.2
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# License: Simplified BSD (see details at bottom)
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EllipticCurveElt(EllipticCurve(29, [4,20]), [2,6])
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"""
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Version = 'ELLIPTICCURVE.PY, version 0.1, 9 May, 2014, by Robert Campbell, <campbell@math.umbc.edu>'
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__version__ = '0.2' # Format specified in Python PEP 396
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Version = 'ELLIPTICCURVE.PY, version ' + __version__ + ', 18 May, 2014, by Robert Campbell, <r.campbel.256@gmail.com>'
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import numbthy # For xgcd (for modinv) and sqrtmod
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# Assumptions: Affine (later Projective?) Reduced Weierstrass form

finitefield.py

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# Note: Version 0.9 - major changes to improve SAGE compatibility
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# Version 0.8 is compatible with both Python 2.5+ and 3.x
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# and changes some names to improve SAGE compatibility
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# Author: Robert Campbell, <campbell@math.umbc.edu>
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# Author: Robert Campbell, <r.campbel.256@gmail.com>
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# Date: 15 Dec, 2014
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# Version 0.91
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# License: Simplified BSD (see details at bottom)1
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__version__ = '0.91' # Format specified in Python PEP 396
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Version = 'finitefield.py, version ' + __version__ + ', 15 Dec, 2014, by Robert Campbell, <campbell@math.umbc.edu>'
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Version = 'finitefield.py, version ' + __version__ + ', 15 Dec, 2014, by Robert Campbell, <r.campbel.256@gmail.com>'
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import numbthy # Use factor
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import random # Generate random elements

gaussint.py

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# GAUSSINT.PY
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# Basic Number Theory functions implemented in Python
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# Note: Currently requires Python 2.x (uses +=, %= and other 2.x-isms)
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# Author: Robert Campbell, <campbell@math.umbc.edu>
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# Author: Robert Campbell, <r.campbel.256@gmail.com>
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# Date: 8 June, 2013
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# Version 1.1
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# License: Simplified BSD (see details at bottom)
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# Need to clean up input/output routines, so a-bi does not print a+-bi and so
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# one can easily cut and paste to input previous output
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######################################################################################
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Version = 'GAUSSINT.PY, version 1.1, 8 June, 2013, by Robert Campbell, <campbell@math.umbc.edu>'
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__version__ = '1.1' # Format specified in Python PEP 396
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Version = 'GAUSSINT.PY, version ' + __version__ + ', 8 June, 2013, by Robert Campbell, <r.campbel.256@gmail.com>'
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import math # Use floor
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import types # Use IntType, LongType

numbthy.py

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# Basic Number Theory functions implemented in Python
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# Note: Version 0.7 changes some function names to align with SAGE
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# Note: Version 0.8 is compatible with both Python 2.5+ and 3.x
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# Author: Robert Campbell, <campbell@math.umbc.edu>
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# Author: Robert Campbell, <r.campbel.256@gmail.com>
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# Date: 18 Nov 2014
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# Version 0.81
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# License: Simplified BSD (see details at bottom)
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"""
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__version__ = '0.81' # Format specified in Python PEP 396
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Version = 'NUMBTHY.PY, version ' + __version__ + ', 18 Nov, 2014, by Robert Campbell, <campbell@math.umbc.edu>'
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Version = 'NUMBTHY.PY, version ' + __version__ + ', 18 Nov, 2014, by Robert Campbell, <r.campbel.256@gmail.com>'
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import math # Use sqrt, floor
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import functools # Use reduce (Python 2.5+ and 3.x)

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