Keys for elliptic curve cryptography

    公开(公告)号:US11831771B2

    公开(公告)日:2023-11-28

    申请号:US17506377

    申请日:2021-10-20

    CPC classification number: H04L9/3073 H04L9/0838 H04L9/3247 H04L2209/12

    Abstract: Cryptographic circuitry, in operation, generates N first pairs of elliptic curve cryptography (ECC) keys r(i), R(i), with i varying from 1 to N, using K second pairs of ECC keys p(k), P(k), with k varying from 1 to K, wherein K is smaller than N. Each pair r(i), R(i) of the first pairs of keys is a linear combination of pairs of the second pairs of ECC keys according to:






    i




    [

    1
    ;
    N

    ]



    {






    r

    (
    l
    )

    =




    j
    =
    1

    K



    A

    (

    i
    ,
    j

    )

    *

    p

    (
    j
    )










    R

    (
    i
    )

    =




    j
    =
    1

    K



    A

    (

    i
    ,
    j

    )

    *

    P

    (
    j
    )







    ,







    wherein A(i,j) designates a general term of a matrix A of size N*K, and all the sub-matrices of size K*K are invertible. The cryptographic circuitry, in operation, executes cryptographic operations using one or more pairs of the first pairs of ECC keys.

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