General results on the divisibility of low weight polynomials in \(\mathbb{F}_q [x]\)

DOI10.1016/J.FFA.2019.101599zbMath1461.11167OpenAlexW2979773937MaRDI QIDQ2291363

Mark Saaltink, Daniel Wevrick

Publication date: 30 January 2020

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2019.101599

zbMATH Keywords

low weight polynomialstrinomial divisibility

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Polynomials over finite fields (11T06)

Cites Work

• Divisibility of polynomials over finite fields and combinatorial applications
• Division of tetranomials by type II pentanomials and orthogonal arrays
• Orthogonal arrays, primitive trinomials, and shift-register sequences
• Division of trinomials by pentanomials and orthogonal arrays
• On the Divisibility of Trinomials by Maximum Weight Polynomials over F2

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