Optimal Extension Field Inversion in the Frequency Domain

DOI10.1007/978-3-540-69499-1_5zbMath1202.11053OpenAlexW1551781172MaRDI QIDQ3519551

Berk Sunar, Selçuk Baktır

Publication date: 19 August 2008

Published in: Arithmetic of Finite Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-69499-1_5

zbMATH Keywords

finite fieldsdiscrete Fourier transforminversionelliptic curve cryptographynumber theoretic transform

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (1)

Optimal Extension Field Inversion in the Frequency Domain

Cites Work

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• A fast algorithm for computing multiplicative inverses in \(\text{GF}(2^ m)\) using normal bases
• Itoh-Tsujii inversion in standard basis and its application in cryptography and codes
• Optimal Extension Field Inversion in the Frequency Domain
• A method for obtaining digital signatures and public-key cryptosystems
• An Algorithm for the Machine Calculation of Complex Fourier Series
• The Fast Fourier Transform in a Finite Field
• Efficient arithmetic in finite field extensions with application in elliptic curve cryptography.

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