Abstract: Provided is a method for securing against side channel attacks. An elliptic curve cryptographic process comprises a multiple points multiplication operation using predetermined scalar values, Pi being points of an elliptic curve over a finite field defined by parameters (F, E, G, N) together with the point addition law where F is a field over which is defined the curve, E is an equation of the curve, G is a base point in E over F and N is the order of the base point G. The method comprises generating (S1) a masking value iRand, multiplicatively masking (S2) each predetermined scalar value di with said generated masking value iRand to obtain masked scalars di?, computing (S3) a masked multiple points multiplication operation result, and obtaining (S4) said multiple points multiplication operation result R by unmasking said masked multiple points multiplication operation result R?.

Abstract: Provided is a method for securing against high-order side-channel attacks wherein a substep of field inversion is performed by a cryptographic device. The method includes computing (S1) a Dirac output value, adding (S2) said Dirac output value to one of said shares of the first set of shares to obtain a second set of shares, performing a conversion of the second set of shares (S3) from said (n+1) additive sharing to a (n+1)-multiplicative sharing, performing an inversion of each share of the (n+1)-multiplicative sharing (S4), performing a conversion of the inverted shares (S5) from said multiplicative sharing to a (n+1)-additive sharing to obtain a third set of shares, and adding (S6) said Dirac output value to one of said shares of the third set of shares. Other embodiments disclosed.

Abstract: The present invention relates to a method for generating a prime number and using it in a cryptographic application, comprising the steps of: a) determining at least one binary base B with a small size b=log2(B) bits and for each determined base B at least one small prime pi such that B mod pi=1, with i an integer, b) selecting a prime candidate YP, c) decomposing the selected prime candidate YP in a base B selected among said determined binary bases : YP=?yjBid) computing a residue yPB from the candidate YP for said selected base such that yPB=?yje) testing if said computed residue yPB is divisible by one small prime pi selected among said determined small primes for said selected base B, f) while said computed residue yPB is not divisible by said selected small prime, iteratively repeating above step e) until tests performed at step e) prove that said computed residue yPB is not divisible by any of said determined small primes for said selected base B, g) when said computed residue yPB is not divisible by a

Abstract: The present invention relates to a method for generating a prime number and using it in a cryptographic application, comprising the steps of: a) determining at least one binary base B with a small size b=log2(B) bits and for each determined base B at least one small prime pi such that B mod pi=1, with i an integer, b) selecting a prime candidate YP, c) decomposing the selected prime candidate YP in a base B selected among said determined binary bases : YP=?yjBid) computing a residue yPB from the candidate YP for said selected base such that yPB=?yje) testing if said computed residue yPB is divisible by one small prime pi selected among said determined small primes for said selected base B, f) while said computed residue yPB is not divisible by said selected small prime, iteratively repeating above step e) until tests performed at step e) prove that said computed residue yPB is not divisible by any of said determined small primes for said selected base B, g) when said computed residue yPB is not divisible by a

Abstract: In an aspect, a method can include generating a cyclic redundancy check code for a binary data item, using a generator polynomial; and masking, using polynomial addition, the binary data item with a binary mask. The method can also include at least one of: storing, by a microcircuit, the masked binary data item in a memory of an electronic device; or transferring, by the microcircuit, the masked data item to another device. The cyclic redundancy check code for the binary data item can be generated from the masked binary data item to prevent discovery of the binary data item by a side-channel attack during the generating the cyclic redundancy check. The binary mask can be a multiple of a random number and the generator polynomial, such that respective cyclic redundancy check code of the masked data item and the binary data item have a same result.

Abstract: The present invention relates to a method for processing a binary data item, comprising a step of calculating a cyclic redundancy check code for the data item by means of a generator polynomial, wherein the step of calculating the cyclic redundancy check code comprises the steps of: masking the data item with a random binary mask that is a multiple of the generator polynomial, and generating the cyclic redundancy check code for the data item from the masked data item.

Abstract: The invention relates to a symmetric encryption process executed by a microcircuit to transform a message into an encrypted message from a secret key, the process including a first round, intermediary rounds, and a last round. According to the invention, the process includes several executions of the first round and of the last round, and a number of executions of at least one intermediary round, the number of executions being less than the number of executions of the first and last rounds. The invention is particularly applicable to DES, Triple DES, and AES processes.

Abstract: An integrated circuit including a multiplication function configured to execute a multiplication operation of two binary words x and y including a plurality of basic multiplication steps of components xi of word x by components yj of word y is described. The multiplication function of the integrated circuit is configured to execute two successive multiplications by modifying, in a random or pseudo-random manner, an order in which the basic multiplication steps of components xi by components yj are executed.

Abstract: A process for testing an integrated circuit includes collecting a set of points of a physical property while the integrated circuit is executing a multiplication, dividing the set of points into a plurality subsets of lateral points, calculating an estimation of the value of the physical property for each subset, and applying to the subset of lateral points a step of horizontal transversal statistical processing by using the estimations of the value of the physical property, to verify a hypothesis about the variables manipulated by the integrated circuit.

Abstract: A method and a device protected against hidden channel attacks includes a calculation of the result of the exponentiation of a data m by an exponent d. The method and the device are configured to execute only multiplications of identical large variables, by breaking down any multiplication of different large variables x, y into a combination of multiplications of identical large variables.

Abstract: An integrated circuit including a multiplication function configured to execute a multiplication operation of two binary words x and y including a plurality of basic multiplication steps of components xi of word x by components yj of word y is described. The multiplication function of the integrated circuit is configured to execute two successive multiplications by modifying, in a random or pseudo-random manner, an order in which the basic multiplication steps of components xi by components yj are executed.

Abstract: A process for testing an integrated circuit includes collecting a set of points of a physical property while the integrated circuit is executing a multiplication, dividing the set of points into a plurality subsets of lateral points, calculating an estimation of the value of the physical property for each subset, and applying to the subset of lateral points a step of horizontal transversal statistical processing by using the estimations of the value of the physical property, to verify a hypothesis about the variables manipulated by the integrated circuit.