Modified Patterson-Wiedemann construction

DOI10.1007/s10623-023-01248-yOpenAlexW4377970544MaRDI QIDQ6130609

Selçuk Kavut

Publication date: 3 April 2024

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

Full work available at URL: https://doi.org/10.1007/s10623-023-01248-y

zbMATH Keywords

nonlinearityinterleaved sequencePatterson-Wiedemann (PW) construction

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Boolean functions (94D10)

Cites Work

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• 9-variable Boolean functions with nonlinearity 242 in the generalized rotation symmetric class
• Asymptotically optimal Boolean functions
• Patterson-Wiedemann construction revisited
• Patterson–Wiedemann Type Functions on 21 Variables With Nonlinearity Greater Than Bent Concatenation Bound
• Search for Boolean Functions With Excellent Profiles in the Rotation Symmetric Class
• On the norm and covering radius of the first-order Reed-Muller codes
• A Super-Set of Patterson--Wiedemann Functions: Upper Bounds and Possible Nonlinearities
• The covering radius of the<tex>(2^{15}, 16)</tex>Reed-Muller code is at least 16276
• Correction to the paper: Patterson-Wiedemann construction revisited

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