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• W2028633248 abstract "We construct two new families of basis for finite field extensions. Bases in the first family, the so-called elliptic bases, are not quite normal bases, but they allow very fast Frobenius exponentiation while preserving sparse multiplication formulas. Bases in the second family, the so-called normal elliptic bases are normal bases and allow fast (quasi-linear) arithmetic. We prove that all extensions admit models of this kind." @default.
• W2028633248 created "2016-06-24" @default.
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• W2028633248 date "2009-02-01" @default.
• W2028633248 modified "2023-09-30" @default.
• W2028633248 title "Elliptic periods for finite fields" @default.
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• W2028633248 doi "https://doi.org/10.1016/j.ffa.2008.07.004" @default.
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