Source code for sigma2

from charm.toolbox.sigmaprotocol import Sigma
from charm.toolbox.pairinggroup import ZR,G1,pair

[docs]class SigmaProtocol2(Sigma): def __init__(self, groupObj, common_input=None): Sigma.__init__(self, groupObj, common_input) if common_input == None: self.gen_common()
[docs] def gen_common(self): x, v = self.group.random(ZR, 2) g = self.group.random(G1) index = self.group.init(ZR, 1) # testing message 0 at index 1 V = (g ** ~(x+index)) ** v y = g ** x print("check: lhs = e(V,y) =>", pair(V,y)) print("check: rhs = e(V,g)^-o * e(g,g)^v =>", (pair(V,g) ** -index) * (pair(g,g) ** v)) Protocol.store(self, ('g', g), ('V', V), ('v',v), ('y',y), ('sigma', index) ) return None
[docs] def prover_state1(self): print("PROVER 1: ") (g, V) = Sigma.get(self, ['g', 'V']) r1, r2 = self.group.random(ZR, 2) a = (pair(V, g) ** -r1) * (pair(g, g) ** r2) print("send g =>", g) print("send V =>", V) print("send r1 =>", r1) print("send r2 =>", r2) print("send a =>", a) pk = Sigma.get(self, ['g','V','y'], dict) Sigma.store(self, ('r1',r1), ('r2',r2) ) Sigma.setState(self, 3) return { 'a':a, 'pk':pk }
[docs] def prover_state3(self, input): print("PROVER 3: ") (r1, r2, v, sigma, c) = Sigma.get(self, ['r1','r2','v','sigma', 'c']) print("input c =>", c) z1 = r1 - sigma * c # need a way to get sigma index as part of init index (1..N) z2 = r2 - v * c print("send z1 =>", z1) print("send z2 =>", z2) Sigma.setState(self, 5) return {'z1':z1, 'z2':z2 }
[docs] def prover_state5(self, input): print("PROVER 5: result =>", input) Sigma.setState(self, None) Sigma.setErrorCode(self, input) return None
[docs] def verifier_state2(self, input): print("VERIFIER 2: ") c = self.group.random(ZR) print("send c =>", c) Sigma.setState(self, 4) return {'c':c }
[docs] def verifier_state4(self, input): print("VERIFIER 4: ") (a, c, z1, z2, pk) = Sigma.get(self, ['a','c','z1','z2','pk']) g, y, V = pk['g'], pk['y'], pk['V'] print("get a =>", a) if a == (pair(V,y) ** c) * (pair(V,g) ** -z1) * (pair(g,g) ** z2): print("SUCCESS!!!!!!!"); result = 'OK' else: print("Failed!!!"); result = 'FAIL' Sigma.setState(self, 6) Sigma.setErrorCode(self, result) return result
[docs] def verifier_state6(self, input): print("VERIFIER 6: done.") Sigma.setState(self, None) return None
#if __name__ == "__main__": # if len(sys.argv) != 2: # print("Usage: %s [-v or -p]" % sys.argv[0]) # exit(-1) # # if sys.argv[1] == "-v": # print("Operating as verifier...") # svr = socket(AF_INET, SOCK_STREAM) # svr.bind((HOST, PORT)) # svr.listen(1) # svr_sock, addr = svr.accept() # print("Connected by ", addr) # _name, _type, _sock = "verifier", VERIFIER, svr_sock # elif sys.argv[1] == "-p": # print("Operating as prover...") # clt = socket(AF_INET, SOCK_STREAM) # clt.connect((HOST, PORT)) # clt.settimeout(15) # _name, _type, _sock = "prover", PROVER, clt # else: # print("Usage: %s -v or -p" % sys.argv[0]) # exit(-1) # # group = PairingGroup('library/a.param') # sp = SigmaProtocol2(group) # sp.setup( {'name':_name, 'type':_type, 'socket':_sock} ) # # run as a thread... # sp.execute(_type) # print("Result of protocol =>", sp.result) #