scientific article; zbMATH DE number 1979307

zbMath1028.68003MaRDI QIDQ4425740

Nigel P. Smart, Dan Page

Publication date: 11 September 2003

Full work available at URL: http://link.springer.de/link/service/series/0558/bibs/2523/25230529.htm

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zbMATH Keywords

multiplicationsupersingular elliptic curveshardware representationcharacteristic three arithmeticfield addition

Mathematics Subject Classification ID

Analysis of algorithms (68W40) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Mathematical problems of computer architecture (68M07)

Related Items (10)

On the distribution of irreducible trinomials over \(\mathbb F_3\) ⋮ Efficient hardware implementation of finite fields with applications to cryptography ⋮ Formulas for cube roots in \(\mathbb F_{3^m}\) ⋮ A new bit-serial multiplier over \(GF(pm)\) using irreducible trinomials ⋮ Complexity of computation in finite fields ⋮ A simple point counting algorithm for Hessian elliptic curves in characteristic three ⋮ On multiplication in finite fields ⋮ Faster Implementation of η T Pairing over GF(3 m ) Using Minimum Number of Logical Instructions for GF(3)-Addition ⋮ A survey of some recent bit-parallel \(\mathrm{GF}(2^n)\) multipliers ⋮ On the arithmetic operations over finite fields of characteristic three with low complexity

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