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Novel Efficient Implementations of Hyperelliptic Curve Cryptosystems using Degenerate Divisors
hyperelliptic curve cryptosystem scalar multiplication timing attack
2009/4/10
It has recently been reported that the performance of hyperelliptic curve
cryptosystems (HECC) is competitive to that of elliptic curve cryptosystems (ECC).
However, it is expected that HECC still c...
Generalizations of the Karatsuba Algorithm for Efficient Implementations
polynomial multiplication Karatsuba Algorithm finite fields
2008/12/3
In this work we generalize the classical Karatsuba Algorithm (KA) for polynomial multiplica-
tion to (i) polynomials of arbitrary degree and (ii) recursive use. We determine exact complexity expressi...