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New extremal binary self-dual codes of length 68 from \(R_2\)-lifts of binary self-dual codes

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Publication:1948464
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DOI10.3934/amc.2013.7.219zbMath1317.94146OpenAlexW2026270189MaRDI QIDQ1948464

Suat Karadeniz, Bahattin Yildiz

Publication date: 6 May 2013

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2013.7.219


zbMATH Keywords

self-dual codescodes over ringsGray mapextremal codes


Mathematics Subject Classification ID

Linear codes (general theory) (94B05)


Related Items (5)

Various constructions for self-dual codes over rings and new binary self-dual codes ⋮ Cyclic codes over a non-commutative finite chain ring ⋮ New extremal binary self-dual codes from \(\mathbb{F}_4 + u \mathbb{F}_4\)-lifts of quadratic circulant codes over \(\mathbb{F}_4\) ⋮ Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes ⋮ New extremal binary self-dual codes of length 68 from quadratic residue codes over \(\mathbb{F}_2 + u \mathbb{F}_2 + u^2 \mathbb{F}_2\)






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