Type II codes over \(\mathbb{F}_4+u\mathbb{F}_4\)
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Publication:5949035
DOI10.1006/eujc.2001.0509zbMath0984.94034OpenAlexW2051648459MaRDI QIDQ5949035
Publication date: 5 May 2002
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/eujc.2001.0509
Related Items (32)
Duality preserving Gray maps for codes over rings ⋮ (1 + u) constacyclic and cyclic codes over \(F_{2} + uF_{2}\) ⋮ A group induced four-circulant construction for self-dual codes and new extremal binary self-dual codes ⋮ An explicit expression for Euclidean self-dual cyclic codes over \(\mathbb{F}_{2^m} + u \mathbb{F}_{2^m}\) of length \(2^s\) ⋮ Quadruple bordered constructions of self-dual codes from group rings ⋮ Extremal binary self-dual codes from a bordered four circulant construction ⋮ Classification of type I codes over \({\mathbb{F}}_4+u{\mathbb{F}}_4\) ⋮ Various constructions for self-dual codes over rings and new binary self-dual codes ⋮ New self-dual codes from \(2 \times 2\) block circulant matrices, group rings and neighbours of neighbours ⋮ Self-dual codes using bisymmetric matrices and group rings ⋮ Double bordered constructions of self-dual codes from group rings over Frobenius rings ⋮ Composite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68 ⋮ Type II codes over \(\mathbb{F}_{2^m} + u\mathbb{F}_{2^m}\) ⋮ Unnamed Item ⋮ New extremal binary self-dual codes from \(\mathbb{F}_4 + u \mathbb{F}_4\)-lifts of quadratic circulant codes over \(\mathbb{F}_4\) ⋮ New binary self-dual codes of lengths \(56, 58, 64, 80\) and \(92\) from a modification of the four circulant construction ⋮ Lee distance of cyclic and \((1 + u\gamma)\)-constacyclic codes of length \(2^s\) over \(\mathbb{F}_{2^m} + u \mathbb{F}_{2^m} \) ⋮ On self-duality and hulls of cyclic codes over \(\frac{\mathbb{F}_{2^m}[u}{\langle u^k\rangle}\) with oddly even length] ⋮ Some skew constacyclic codes over \(\mathbb{F}_q+u\mathbb{F}_q\) ⋮ Constructions for self-dual codes induced from group rings ⋮ QUATERNARY CONSTRUCTION OF QUANTUM CODES FROM CYCLIC CODES OVER $\mathbb{F}_4 + u\mathbb{F}_4$ ⋮ \(2^n\) bordered constructions of self-dual codes from group rings ⋮ New extremal binary self-dual codes from a Baumert-Hall array ⋮ On the algebraic structure of quasi-cyclic codes. IV: Repeated roots ⋮ Constructing self-dual codes from group rings and reverse circulant matrices ⋮ Composite matrices from group rings, composite \(G\)-codes and constructions of self-dual codes ⋮ 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 ⋮ Modified quadratic residue constructions and new extremal binary self-dual codes of lengths 64, 66 and 68 ⋮ An altered four circulant construction for self-dual codes from group rings and new extremal binary self-dual codes. I ⋮ A modified bordered construction for self-dual codes from group rings ⋮ A group structure on the golden triples
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