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On self-orthogonal group ring codes

Designs, Codes and Cryptography, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fu, Wenqing, Feng, Tao
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Quantum codes from nearly self-orthogonal quaternary linear codes

Designs, Codes and Cryptography, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lisoněk, Petr, Singh, Vijaykumar
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On optimal self-orthogonal quasi-cyclic codes

IEEE International Conference on Communications, Including Supercomm Technical Sessions, 1990
Some infinite classes of optimal self-orthogonal quasi-cycle (SOQC) equal/unequal error protection codes are presented. These codes are specified by corresponding block designs. Several optimal SOQC codes which were not found by Townsend and Weldon (1967) are also given. From the point of view of implementation, the systematic form of the code has some
Zhi Chen, null Fan Pingzhi, null Jin Fan
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Rank codes using weak self-orthogonal bases

2010 IEEE Region 8 International Conference on Computational Technologies in Electrical and Electronics Engineering (SIBIRCON), 2010
Finding a syndrome is the significant part of decoding rank codes procedure. Using a weak self-orthogonal basis one can decrease its complexity. In this case the major part of complexity evaluation is approximated by N(log N)2. It is less than the complexity when using Karatsuba-Ofman algorithm only.
Igor Y. Sysoev, Ernst M. Gabidulin
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Weighing matrices and self-orthogonal quaternary codes

2003
A weighing matrix is a square matrix with entries \(0\), \(1\), and \(-1\), where distinct rows are orthogonal and each row and column has \(k\) non-zero entries. Viewing \(0,1\) and \(-1\) as elements of \(Z_4\) the authors use the matrices to generate self-orthogonal quaternary codes.
Charnes, C., Seberry, Jennifer
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LCD codes and almost optimally extendable codes from self-orthogonal codes

Designs, Codes and Cryptography
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinran Wang   +3 more
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Constructions of Self-Orthogonal Codes and LCD Codes Over Finite Fields

2024 17th International Conference on Information Security and Cryptology (ISCTürkiye)
Self-orthogonal codes, which are contained within their dual codes, have applications in linear complementary dual codes, quantum codes, etc. In this paper, we generalize the construction method given by Heng et al. in [Des. Codes Cryptogr. 91(12), 2023] to weakly regular plateaued functions. We first construct several families of p-ary self-orthogonal
Çakmak, Melike   +2 more
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Orbit matrices and self-orthogonal codes

2011
Harada and Tonchev recently presented a construction of self-orthogonal codes from orbit matrices of symmetric designs with fi xed-point-free automorphisms. Using this method we construct self-orthogonal codes from orbit matrices of some symmetric designs of Menon type. Further, we describe a construction of self-orthogonal codes from orbit matrices of
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Self-orthogonal and LCD subspace codes

In 2008, Koetter and Kschischang introduced subspace codes and propose their applications in error correction for random network coding. Self-orthogonal and LCD subspace codes were introduced recently. In this talk, we give constructions of self-orthogonal and LCD subspace codes from mutually unbiased and quasi-unbiased weighing matrices, linked ...
Crnković, Dean, Švob, Andrea
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Weakly self-orthogonal designs and related codes

2019
A 1-design is weakly self-orthogonal if all the block intersection numbers have the same parity. If both k and the block intersection numbers are even then a 1-design is called self-orthogonal and its incidence matrix generates a self-orthogonal code.
Mikulić Crnković, Vedrana   +1 more
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