An elementary introduction to hyperelliptic curves

Alfred Menezes, Yihong Wu, Robert J. Zuccherato · 1996

This paper presents an elementary introduction to some of the theory of hyperellip-tic curves over finite fields of arbitrary characteristic that has cryptographic relevance. Cantor’s algorithm for adding in the jacobian of a hyperelliptic curve and a proof of correctness of the algorithm are presented.

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