Reduction and conversion of a scalar to a τ-ADIC representation

    公开(公告)号:US12284279B2

    公开(公告)日:2025-04-22

    申请号:US17981200

    申请日:2022-11-04

    Inventor: Guilhem Assael

    Abstract: The present disclosure relates to a cryptographic method including the execution, by a cryptographic circuit, of an algorithm applied to a scalar in order to generate an output vector, of length L+n, which digits are d0, . . . , dL+n−1, the algorithm comprising iterations i, each iteration i taking an input data value, initially equal to said scalar and an input vector of length c, which digits are d′i, . . . , d′i+c−1, where for each j∈{i, . . . , i+c−1}, the digit d′j is such that: d j ′ = { d j ⁢ if ⁢ j

    Protection of a cryptographic operation

    公开(公告)号:US12250303B2

    公开(公告)日:2025-03-11

    申请号:US17820843

    申请日:2022-08-18

    Inventor: Guilhem Assael

    Abstract: The present disclosure relates to a cryptographic method comprising: multiplying a point belonging to a mathematical set with a group structure by a scalar by performing: the division of a scalar into a plurality of groups formed of a same number w of digits, w being greater than or equal to 2; and the execution, by a cryptographic circuit and for each group of digits, of a sequence of operations on point, the sequence of operations being identical for each group of digits, at least one of the operations executed for each of the groups of digits being a dummy operation.

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