Abstract: A method for encrypting or decrypting a n-tuple of data ({ai}i?[[0,n-1]]) with a n-tuple of secret keys ({ki}i?[[0,n-1]]). The method uses a data-processor to perform the steps of: (a) for each element (ai), determining m>n first internal states ({yij}j?[[0,m-1]]) by application of m first operations, each: represented by a table (Tij), and defined as the combination of a single bijective internal encoding (Gij), of a non-linear sharing function (Di, Ei, Fi . . . ), and of a given non-linear permutation function (ƒ) parameterized with the secret key (ki), and (b) for each n-tuple of first internal states ({yij}i?[[0,n-1]]), determining a second internal state (zj) by application of a second operation: represented by a table (TLj), and defined as the combination of a second single bijective internal encoding (GLj), a linear multiplexing function (L), and the inverses of the first bijective internal encodings (Gij).

Abstract: A biometric identification method of an entity including computation of a matching value between biometric data of an entity u and reference biometric data u?, by application of a function F to the biometric data. A non-interactive, publicly verifiable computation method is performed wherein representation of the function is obtained by converting an arithmetic circuit into a polynomial representation. A matching value is obtained by evaluating the arithmetic circuit and the reference biometric data as inputs. Proof of correction of the computation execution of the matching values is obtained. Verification of said received proof. The function is encoded with an integer k>1 of a vector of a biometric datum on at least one input wire of the circuit. The function includes at least m scalar products. Evaluation of the circuit is iteratively computed depending on the value of m.

Abstract: The present invention relates to a method for encrypting or decrypting a n-tuple of data with a n-tuple of secret keys , the method being characterized in that it comprises data-processing means (11a) of equipment (10a) implementing steps of: (a) For each element (ai), determination of m>n first internal states by application of m first operations, each being: represented by a stored table (Tij), and defined as the combination of a single bijective internal encoding (Gij), of a non-linear splitting function (Di, Ei, Fi . . . ), and of a given non-linear permutation function (ƒ) parameterized with the secret key (ki) corresponding; (b) For each n-tuple of first internal states , determination of a second internal state (zj) by application of a second operation being: represented by a table (TLj) stored, and defined as the combination of a second single bijective internal encoding (GLj), a linear multiplexing function (L), and the inverses of said first bijective internal encodings (Gij).

Abstract: The present invention relates to a biometric identification method of an entity comprising computation of a matching value between biometric data of an entity u and reference biometric data u?, by application of a function F to said biometric data by performing a non-interactive, publicly verifiable computation method comprising: representation of said function in the form of an arithmetic circuit converted into a polynomial representation, and generation of keys, determination of matching value by evaluating the arithmetic circuit having the biometric data of the entity and the reference biometric data as inputs, generation of proof of correction of the computation execution of the matching values, verification of said received proof, representation of said function comprising encoding of an integer k>1 of binary integers of a vector of a biometric datum on at least one input wire of the circuit, and the function F comprising at least m scalar products, if the divider m is equal to 2 or 3, evaluation of t