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scientific article; zbMATH DE number 7481747

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7481747

Statements

scholarly article

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publication date

28 February 2022

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zbMATH Keywords

Frobenius ring

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non-chain ring

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self-orthogonal code

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code over \(\mathbb{Z}_4\)

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optimal code

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MaRDI profile type

MaRDI publication profile

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Type II codes, even unimodular lattices, and invariant rings

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Quantum Error Correction and Orthogonal Geometry

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Quantum error correction via codes over GF(4)

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Negacyclic codes over the local ring \(\mathbb{Z}_4 [v] / \langle v^2 + 2 v \rangle\) of oddly even length and their gray images

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Complete classification for simple root cyclic codes over the local ring \(\mathbb{Z}_4[v]/\langle v^2+2v\rangle \)

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The complete weight enumerator of Type II codes over Z/sub 2m/ and Jacobi forms

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On codes over Frobenius rings: generating characters, MacWilliams identities and generator matrices

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Infinite families of MDR cyclic codes over \(\mathbb{Z}_4\) via constacyclic codes over \(\mathbb{Z}_4 [u] \slash \langle u^2 - 1 \rangle \)

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Construction of minimal linear codes from multi-variable functions

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Constructing formally self-dual codes over \(R_k\)

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Lee weights of cyclic self-dual codes over Galois rings of characteristic \(p^2\)

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A mass formula for cyclic codes over Galois rings of characteristic \(p^3\)

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Classification of cyclic codes over a non-Galois chain ring \(\mathbb{Z}_p [u] / \langle u^3 \rangle\)

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Type II codes over \(\mathbb{F}_4+u\mathbb{F}_4\)

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On constacyclic codes over \(\mathbb{Z}_4 [u] / \langle u^2 - 1 \rangle\) and their Gray images

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On self-dual and LCD double circulant and double negacirculant codes over \(\mathbb{F}_q+u\mathbb{F}_q \)

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A class of optimal \(p\)-ary codes from one-weight codes over \(\mathbb F_p[u]/\langle u^m\rangle\)

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Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes

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Identifiers

10.4134/JKMS.j210357

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5037222

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