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Dergiler / Journal of Algebra Combinatorics Discrete Structures and Applications / 2026 / Cilt: 7 Sayı: 2

A modified bordered construction for self-dual codes from group rings

Joe Gıldea(University of Chester)
Abidin Kaya(Sampoerna University)0000-0003-0175-1909
Alexander Tylyshchak(Uzhgorod State University)
Bahattin Yıldız(Northern Arizona University)0000-0001-8106-3123
Sayfa
103–119
Yayın Tarihi
2020-05-07
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In particular we find a new extremal binary self-dual code of length 78.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We describe a bordered construction for self-dual codes coming from group rings.
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Temel Bulgular & Veri:We apply the constructions coming from the cyclic and dihedral groups over several alphabets to obtain extremal binary self-dual codes of various lengths.
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Sonuç & Katkı:In particular we find a new extremal binary self-dual code of length 78.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Group rings · Self-dual codes · Codes over rings

Abstract

We describe a bordered construction for self-dual codes coming from group rings. We apply the constructions coming from the cyclic and dihedral groups over several alphabets to obtain extremal binary self-dual codes of various lengths. In particular we find a new extremal binary self-dual code of length 78.

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Bu Makaleye Atıf Yap

Gıldea, J., Kaya, A., Tylyshchak, A., Yıldız, B. (2020). A modified bordered construction for self-dual codes from group rings. Journal of Algebra Combinatorics Discrete Structures and Applications, Cilt: 7 Sayı: 2, 103–119. https://doi.org/10.13069/jacodesmath.729402

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Kaynakça (22)

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