DOI 10.1007/978-3-319-59806-2 zbMath 1375.94002 OpenAlex W2732873618 MaRDI QID Q5272651
Steven T. Dougherty
Publication date : 30 June 2017
Published in : SpringerBriefs in Mathematics (Search for Journal in Brave )
Full work available at URL : https://doi.org/10.1007/978-3-319-59806-2
\(G\)-codes, self-dual \(G\)-codes and reversible \(G\)-codes over the ring \(\mathscr{B}_{j,k} \) ⋮
Double quadratic residue codes and self-dual double cyclic codes ⋮
Self-dual codes over \({\mathbb{F}}_2[u /\langle u^4 \rangle\) and Jacobi forms over a totally real subfield of \({\mathbb{Q}}(\zeta_8)\)] ⋮
Negacyclic codes of prime power length over the finite non-commutative chain ring 𝔽pm[u,𝜃 〈u2〉] ⋮
Group rings, \(G\)-codes and constructions of self-dual and formally self-dual codes ⋮
SKEW-CONSTACYCLIC CODES OVER ⋮
Group LCD and group reversible LCD codes ⋮
Additive \(G\)-codes over \(\mathbb{F}_q\) and their dualities ⋮
Linear codes over \(\mathbb{F}_2 \times (\mathbb{F}_2+v\mathbb{F}_2)\) and the MacWilliams identities ⋮
Quaternary group ring codes: ranks, kernels and self-dual codes ⋮
Quadruple bordered constructions of self-dual codes from group rings ⋮
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Extremal binary self-dual codes from a bordered four circulant construction ⋮
Reversible \(G\)-codes over the ring \(\mathcal{F}_{j, k}\) with applications to DNA codes ⋮
Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes ⋮
Algebraic structure of additive conjucyclic codes over \(\mathbb{F}_4\) ⋮
Non-binary quantum codes from cyclic codes over \(\mathbb{F}_p \times (\mathbb{F}_p +v\mathbb{F}_p)\) ⋮
Codes over a ring of order 32 with two Gray maps ⋮
Additive skew \(G\)-codes over finite fields ⋮
Quasi-Self-Dual Codes over a Non-Unital Ring of Order 4 ⋮
Codes from the Skew Ring 𝑀₂(𝔽₂)⋊_{𝜑}𝔾 ⋮
Self-dual codes using bisymmetric matrices and group rings ⋮
Bounds in the Lee metric and optimal 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] ⋮
Group matrix ring codes and constructions of self-dual codes ⋮
Narain CFTs from nonbinary stabilizer codes ⋮
ACD codes over \(\mathbb{Z}_2 \mathcal{R}\) and the MacWilliams identities ⋮
Orbit matrices of Hadamard matrices and related codes ⋮
Self-orthogonal codes from orbit matrices of Seidel and Laplacian matrices of strongly regular graphs ⋮
Composite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68 ⋮
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Recursive MDS matrices over finite commutative rings ⋮
New binary self-dual codes of lengths \(56, 58, 64, 80\) and \(92\) from a modification of the four circulant construction ⋮
Orthogonality from group characters ⋮
\(2^n\) bordered constructions of self-dual codes from group rings ⋮
Constructing self-dual codes from group rings and reverse circulant matrices ⋮
Hulls of cyclic codes over \(\mathbb{Z}_4\) ⋮
Structure of linear codes over the ring \(B_k\) ⋮
Matrix-product codes over commutative rings and constructions arising from \((\sigma,\delta)\)-codes ⋮
Composite matrices from group rings, composite \(G\)-codes and constructions of self-dual codes ⋮
Self-dual codes over a family of local rings ⋮
Type I and type II codes over the ring \(\mathbb{F}_2+s \mathbb{F}_2+s^2\mathbb{F}_2\) ⋮
Composite G-codes over formal power series rings and finite chain rings ⋮
Enumeration of some matrices and free linear codes over commutative finite local rings ⋮
Additive and linear conjucyclic codes over \(\mathbb{F}_4\) ⋮
Generating characters of non-commutative Frobenius rings ⋮
Constacyclic codes over local rings of order 16 ⋮
Construction and enumeration for self-dual cyclic codes over \(\mathbb Z_4\) of oddly even length ⋮
Self-dual additive codes ⋮
Variants of Jacobi polynomials in coding theory ⋮
Further results on higher weights of codes over finite rings ⋮
New binary self-dual codes of lengths 80, 84 and 96 from composite matrices ⋮
The neighbor graph of binary self-dual codes ⋮
Kloosterman sums over finite Frobenius rings ⋮
Skew G -codes
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