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Abstract

A method of coding a secret, a numerical value d, subdivided into a number N of secret elements [d_i]_n1, a composition law () applied to the elements d_i giving the value d. The following are calculated: (A) a first image (T_N) of the secret by iterative calculation and application of the law () between the first image T_i-1 of rank i−1 and of the product according to this law of the element (d_i) of next rank and of a random value (R_i) of a first set, (B) a first numerical value (S₁) by application of the law () to the N random values (R_i), (C) a second numerical value (S₂) by application of the law to the N−1 random values (A_j) of a second set, (D) a second image T′ of the secret by application of the inverse law () to the first image (T_N) and to the second numerical value (S₂) so as to generate an intermediate image (Tx) and then application of the inverse law to the intermediate image (Tx) and to the second numerical value (S₂). The random value (A_j) of corresponding rank is allocated (E) to the first N−1 elements (d_i) and the value of the second image (T′) is allocated (E) to the last element (d_N). Application to secret or public key cryptography processes.

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