Importance

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Abstract

The invention relates to a method of signature with pseudonym σ of a message m by a user device storing a secret signature key sk dependent at least on a first part of key f, on a second part of key x and on a third part of key A equal to (g₁h^f)^1/(x+y) and comprising the following steps: —generation of a pseudonym nym equal to h^f dpk^x, with dpk a public domain parameter, —determination of random numbers a, r_a, r_f, r_x, r_b, r_d, —calculation of signature coefficients R₁ equal to h^r_Jdpk^r_x, R₂ equal to nym^r_ah^−r_ddpk^−r_b, R₃ equal to Z^r_x V^{a−r_x−r_f−r_b} W^−r_a, with Z, V and W respectively equal to e(A, g₂), e(h, g₂) and e(h,w), —obtaining of a first signature parameter T equal to Ah^a, —calculation of a second signature parameter c by applying a cryptographic hash function H, to the public domain parameter dpk, to the pseudonym nym, to the first signature parameter T, to the signature coefficients R₁, R₂, R₃ and to the message m, —calculation of signature parameters s_f, s_x, s_a, s_b, s_d, respectively equal to r_f+c.f, r_x+c.x, r_a+c.a, r_b+c.a.x and r_d+c.a.f, —generation of said signature with pseudonym σ of said message m on the basis of said signature parameters.

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First Claim