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- #
- # DSA.py : Digital Signature Algorithm
- #
- # Part of the Python Cryptography Toolkit
- #
- # Written by Andrew Kuchling, Paul Swartz, and others
- #
- # ===================================================================
- # The contents of this file are dedicated to the public domain. To
- # the extent that dedication to the public domain is not available,
- # everyone is granted a worldwide, perpetual, royalty-free,
- # non-exclusive license to exercise all rights associated with the
- # contents of this file for any purpose whatsoever.
- # No rights are reserved.
- #
- # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
- # EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
- # MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
- # NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
- # BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
- # ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
- # CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
- # SOFTWARE.
- # ===================================================================
- #
- __revision__ = "$Id$"
- from Crypto.PublicKey.pubkey import *
- from Crypto.Util import number
- from Crypto.Util.number import bytes_to_long, long_to_bytes
- from Crypto.Hash import SHA
- from Crypto.Util.py3compat import *
- class error (Exception):
- pass
- def generateQ(randfunc):
- S=randfunc(20)
- hash1=SHA.new(S).digest()
- hash2=SHA.new(long_to_bytes(bytes_to_long(S)+1)).digest()
- q = bignum(0)
- for i in range(0,20):
- c=bord(hash1[i])^bord(hash2[i])
- if i==0:
- c=c | 128
- if i==19:
- c= c | 1
- q=q*256+c
- while (not isPrime(q)):
- q=q+2
- if pow(2,159L) < q < pow(2,160L):
- return S, q
- raise RuntimeError('Bad q value generated')
- def generate_py(bits, randfunc, progress_func=None):
- """generate(bits:int, randfunc:callable, progress_func:callable)
- Generate a DSA key of length 'bits', using 'randfunc' to get
- random data and 'progress_func', if present, to display
- the progress of the key generation.
- """
- if bits<160:
- raise ValueError('Key length < 160 bits')
- obj=DSAobj()
- # Generate string S and prime q
- if progress_func:
- progress_func('p,q\n')
- while (1):
- S, obj.q = generateQ(randfunc)
- n=divmod(bits-1, 160)[0]
- C, N, V = 0, 2, {}
- b=(obj.q >> 5) & 15
- powb=pow(bignum(2), b)
- powL1=pow(bignum(2), bits-1)
- while C<4096:
- for k in range(0, n+1):
- V[k]=bytes_to_long(SHA.new(S+bstr(N)+bstr(k)).digest())
- W=V[n] % powb
- for k in range(n-1, -1, -1):
- W=(W<<160L)+V[k]
- X=W+powL1
- p=X-(X%(2*obj.q)-1)
- if powL1<=p and isPrime(p):
- break
- C, N = C+1, N+n+1
- if C<4096:
- break
- if progress_func:
- progress_func('4096 multiples failed\n')
- obj.p = p
- power=divmod(p-1, obj.q)[0]
- if progress_func:
- progress_func('h,g\n')
- while (1):
- h=bytes_to_long(randfunc(bits)) % (p-1)
- g=pow(h, power, p)
- if 1<h<p-1 and g>1:
- break
- obj.g=g
- if progress_func:
- progress_func('x,y\n')
- while (1):
- x=bytes_to_long(randfunc(20))
- if 0 < x < obj.q:
- break
- obj.x, obj.y = x, pow(g, x, p)
- return obj
- class DSAobj:
- pass
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