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Square root computation in finite fields

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Item type:Araştırmacı/Yazar,
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Springer Science and Business Media LLC

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AbstractIn this paper, we present a review of three widely-used practical square root algorithms. We then describe a unifying framework where each of these well-known algorithms can be seen as a special case of it. The framework with singular curves offers a broad perspective to compare and further improve the existing methods in addition to offering a new avenue for square root computation algorithms in finite fields.

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Designs, Codes and Cryptography

ISSN

0925-1022

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OPEN

Anahtar Kelimeler

Singular curves, Computational methods for problems pertaining to field theory, Mathematics - Number Theory, Q99, Symbolic computation and algebraic computation, square roots, singular curves, elliptic curves, FOS: Mathematics, Elliptic curves, Square roots, Number Theory (math.NT), Primary 11Y99, Number-theoretic algorithms, complexity

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