Extremal binary self-dual codes of lengths 64 and 66 from four-circulant constructions over F2+uF2
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Publication:2975536
DOI10.2298/FIL1405937KzbMath1436.94111MaRDI QIDQ2975536
Bahattin Yildiz, Nuh Aydin, Suat Karadeniz
Publication date: 11 April 2017
Published in: Filomat (Search for Journal in Brave)
Related Items (11)
New extremal binary self-dual codes of lengths 64 and 66 from \(R_{2}\)-lifts ⋮ An explicit expression for Euclidean self-dual cyclic codes over \(\mathbb{F}_{2^m} + u \mathbb{F}_{2^m}\) of length \(2^s\) ⋮ New extremal binary self-dual codes from a modified four circulant construction ⋮ Various constructions for self-dual codes over rings and new binary self-dual codes ⋮ The weight enumerators of singly-even self-dual \([88,44,14\) codes and new binary self-dual \([68,34,12]\) and \([88,44,14]\) codes] ⋮ New extremal binary self-dual codes from \(\mathbb{F}_4 + u \mathbb{F}_4\)-lifts of quadratic circulant codes over \(\mathbb{F}_4\) ⋮ On self-duality and hulls of cyclic codes over \(\frac{\mathbb{F}_{2^m}[u}{\langle u^k\rangle}\) with oddly even length] ⋮ Constructions for self-dual codes induced from group rings ⋮ Construction and enumeration for self-dual cyclic codes of even length over \(\mathbb{F}_{2^m} + u \mathbb{F}_{2^m} \) ⋮ New binary self-dual codes via a generalization of the four circulant construction ⋮ New self-dual codes of length 68 from a \(2 \times 2\) block matrix construction and group rings
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