Cryptology ePrint Archive: Report 2003/251

Isomorphism Classes of Hyperelliptic Curves of genus 3 over finite fields

EunKyung Jeong

Abstract: We give the number of the isomorphism classes of hyperelliptic curves of genus 3 defined over finite fields F_{p^n}, $p \neq 2,7. These results have applications to cryptography.

Category / Keywords: hyperelliptic curves, finite fields, isomorphism classes

Date: received 30 Nov 2003

Contact author: ekjeong at postech ac kr

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Version: 20031201:074008 (All versions of this report)

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