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Extended maximal self-orthogonal codes
Discrete Mathematics, Algorithms and Applications, 2019Self-dual and maximal self-orthogonal codes over [Formula: see text], where [Formula: see text] is even or [Formula: see text](mod 4), are extensively studied in this paper. We prove that every maximal self-orthogonal code can be extended to a self-dual code as in the case of binary Golay code.
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On self-orthogonal group ring codes
Designs, Codes and Cryptography, 2008zbMATH 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, 2014zbMATH 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, 1990Some 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), 2010Finding 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
2003A 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 CryptographyzbMATH 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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Mass Spectrometry-Based Techniques to Elucidate the Sugar Code
Chemical Reviews, 2022Márkó Grabarics +2 more
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An expanded lexicon for the ubiquitin code
Nature Reviews Molecular Cell Biology, 2022Ivan Đikić, Brenda A Schulman
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