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Decaf: Eliminating cofactors through point compression

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2015) 9215 705-723
DOI: 10.1007/978-3-662-47989-6_34
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Abstract

We propose a new unified point compression format for Edwards, Twisted Edwards and Montgomery curves over large characteristic fields, which effectively divides the curve’s cofactor by 4 at very little cost to performance. This allows cofactor-4 curves to efficiently implement prime-order groups.

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Hamburg, M. (2015). Decaf: Eliminating cofactors through point compression. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9215, pp. 705–723). Springer Verlag. https://doi.org/10.1007/978-3-662-47989-6_34

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