New and improved formally self-dual codes with small hulls from polynomial four Toeplitz codes
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Publication:6632060
DOI10.1007/s10623-024-01460-4MaRDI QIDQ6632060
Shixin Zhu, Yang Li, Shitao Li
Publication date: 4 November 2024
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Linear codes (general theory) (94B05) Special polynomials in general fields (12E10) Toeplitz, Cauchy, and related matrices (15B05)
Cites Work
- Unnamed Item
- Complementary dual codes for counter-measures to side-channel attacks
- Quasi-cyclic complementary dual codes
- Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
- Almost MDS codes
- New extremal binary self-dual codes from a modified four circulant construction
- Affine and projective planes
- Permutation group algorithms based on partitions. I: Theory and algorithms
- Linear codes with complementary duals
- Factoring Dickson polynomials over finite fields
- On designs and formally self-dual codes
- The Magma algebra system. I: The user language
- Constructions of good entanglement-assisted quantum error correcting codes
- Some bounds on binary LCD codes
- Isodual codes over \(\mathbb{Z}_{2k}\) and isodual lattices
- On self-dual codes over some prime fields.
- Linear codes with complementary duals meet the Gilbert-Varshamov bound
- LCD codes from tridiagonal Toeplitz matrices
- LCD codes from weighing matrices
- Linear codes with one-dimensional hull associated with Gaussian sums
- Constructions of linear codes with small hulls from association schemes
- A new method for constructing linear codes with small hulls
- Optimal binary LCD codes
- On the minimum weights of binary LCD codes and ternary LCD codes
- On Hermitian LCD codes and their gray image
- A modified Gilbert-Varshamov bound for self-dual quasi-twisted codes of index four
- Linear codes with small hulls in semi-primitive case
- Formally self-dual LCD codes from two-class association schemes
- Optimal quaternary Hermitian LCD codes and their related codes
- Computing automorphism groups of error-correcting codes
- Finding the permutation between equivalent linear codes: the support splitting algorithm
- ON LINEAR COMPLEMENTARY DUAL FOUR CIRCULANT CODES
- Constructions of Linear Codes With One-Dimensional Hull
- New binary and ternary LCD codes from matrix-product codes
- Quaternary Hermitian Linear Complementary Dual Codes
- Concise Encyclopedia of Coding Theory
- On Self-Dual Four Circulant Codes
- Extremal binary self-dual codes from a bordered four circulant construction
- MDS codes with euclidean and Hermitian hulls of flexible dimensions and their applications to EAQECCs
- On Toeplitz codes of index \(t\) and isometry codes
- An improved method for constructing formally self-dual codes with small hulls
- New MDS entanglement-assisted quantum codes from MDS Hermitian self-orthogonal codes
- New constructions of optimal binary LCD codes
- Constructing quantum error-correcting codes that require a variable amount of entanglement
- On the Hull-Variation Problem of Equivalent Linear Codes
- The hull of two classical propagation rules and their applications
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