Keys for elliptic curve cryptography
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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