Peculiar properties of the \(p\)-linear decomposition of \(p\)-linear functions in terms of the shift-composition operation

DOI10.1134/S0032946020040067zbMath1459.94087OpenAlexW3121574397MaRDI QIDQ2229579

Igor V. Cherednik

Publication date: 18 February 2021

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0032946020040067

zbMATH Keywords

finite fieldsshift registerskew polynomialsmatrix polynomial factorization\(p\)-linear functionshomomorphisms of shift registersshift-compositionskew linear recurrence sequences

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55)

Cites Work

• Homomorphisms of shift registers into linear automata
• Методы построения скрученных линейных рекуррентных последовательностей максимального периода, базирующиеся на факторизации многочленов Галуа в кольце матричных многочленов
• Линейное разложение дискретных функций в терминах операции сдвиг-композиции
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