@article{74e05fbc2a324914a3563aa8e72a33aa,
title = "Half-cyclic, dihedral and half-dihedral codes",
abstract = "This note discusses, in elementary terms, linear codes over Z2 which are closed under 2-step cyclic shifts, and classifies them in terms of special linear combinations of polynomials. Codes which are preserved under order-reversing automorphisms are also discussed, and a classification result in terms of special linear combinations of polynomials is obtained.",
keywords = "Code symmetries, Cyclic codes, Half-cyclic codes, Linear codes",
author = "R. Jajcay and P. Poto{\v c}nik and S. Wilson",
note = "Funding Information: The first author is supported by the Projects VEGA 1/0474/15, VEGA 1/0596/17, VEGA 1/0423/20, APVV-15-0220, and by the Slovenian Research Agency (research Projects N1-0038, N1-0062, J1-9108). The second author gratefully acknowledges the support of the Slovenian Research Agency, Programme P1–0294, and all three authors acknowledge the support of the bilateral Project BI-US/16-17-031. Publisher Copyright: {\textcopyright} 2020, Korean Society for Informatics and Computational Applied Mathematics.",
year = "2020",
month = oct,
day = "1",
doi = "10.1007/s12190-020-01374-z",
language = "English (US)",
volume = "64",
pages = "691--708",
journal = "Journal of Applied Mathematics and Computing",
issn = "1598-5865",
publisher = "Springer Verlag",
number = "1-2",
}