Windmill polynomials over fields of characteristic two

DOI10.1007/BF01517357zbMath0716.94007OpenAlexW2090046257MaRDI QIDQ753791

Stephen D. Cohen

Publication date: 1989

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178429

zbMATH Keywords

minimal feedback polynomialpn-sequenceswindmill arrangement of linear feedback shift registerswindmill polynomials

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Polynomials over finite fields (11T06)

Cites Work

• An analog to the discriminant over fields of characteristic two
• The Galois group of a polynomial with two indeterminate coefficients
• Galois group of an equation \(X^ n - aX + b = 0\)
• The Galois Theory of Iterates and Composites of Polynomials
• Windmill Generators A generalization and an observation of how many there are
• The Distribution of Galois Groups and Hilbert's Irreducibility Theorem
• General Trinomials Having Symmetric Galois Group
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