Itoh-Tsujii inversion in standard basis and its application in cryptography and codes

DOI10.1023/A:1013860532636zbMath1030.11070OpenAlexW1589682573MaRDI QIDQ1598873

Christof Paar, Jorge Guajardo

Publication date: 28 May 2002

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1013860532636

zbMATH Keywords

cryptographyinversionGalois fieldsextension fields

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (11)

Efficient software-implementation of finite fields with applications to cryptography ⋮ Efficient hardware implementation of finite fields with applications to cryptography ⋮ Parallel Itoh-Tsujii multiplicative inversion algorithm for a special class of trinomials ⋮ Quantum reversible circuit of AES-128 ⋮ Optimized quantum implementation of AES ⋮ Concrete quantum cryptanalysis of binary elliptic curves via addition chain ⋮ Optimal Extension Field Inversion in the Frequency Domain ⋮ Free storage basis conversion over finite fields ⋮ Optimal software-implemented Itoh-Tsujii inversion for \(\mathbb{F}_{2^{m}}\) ⋮ Efficient computation of roots in finite fields ⋮ An Analysis of Affine Coordinates for Pairing Computation

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