Results 91 to 100 of about 2,635,004 (136)
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IEEE Transactions on Information Theory, 1994
Summary: A class of \(q^ m\)-ary constacyclic codes is defined which has the property that the \(q\)-ary image is equivalent to a class of shortened cyclic codes. This description leads to the construction of nonlinear codes. As an example one can construct nonlinear codes of length \(N= q^ m+1\) over the field \(\text{GF} (q^{m'})\), \(m'\leq m ...
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Summary: A class of \(q^ m\)-ary constacyclic codes is defined which has the property that the \(q\)-ary image is equivalent to a class of shortened cyclic codes. This description leads to the construction of nonlinear codes. As an example one can construct nonlinear codes of length \(N= q^ m+1\) over the field \(\text{GF} (q^{m'})\), \(m'\leq m ...
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Quantum MDS codes from BCH constacyclic codes
Quantum Information Processing, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liqin Hu, Qin Yue, Xianmang He
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2017
In this chapter, we study polycyclic, negacyclic, constacyclic, quasicyclic and skew cyclic codes which are all generalizations of the important family of cyclic codes. We describe their algebraic setting and show how to use this setting to classify these families of codes.
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In this chapter, we study polycyclic, negacyclic, constacyclic, quasicyclic and skew cyclic codes which are all generalizations of the important family of cyclic codes. We describe their algebraic setting and show how to use this setting to classify these families of codes.
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Quasi-twisted codes: decoding and applications in code-based cryptography
arXiv.orgQuasi-twisted (QT) codes generalize several important families of linear codes, including cyclic, constacyclic, and quasi-cyclic codes. Despite their potential, to the best of our knowledge, there exists no efficient decoding algorithm for QT codes.
S. Bhagyalekshmy, Rutuja Kshirsagar
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Cyclic concatenated codes with constacyclic outer codes
IEEE Transactions on Information Theory, 1992Summary: The known construction of cyclic concatenated codes is based on the fact that the inner code is a cyclic minimal code, the outer code is cyclic, and the lengths of the inner and outer codes are relatively prime. Here, it is shown that if the outer code is a suitably chosen constacyclic code the overall concatenated code is always cyclic ...
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Some new quantum codes from constacyclic codes
Quantum Information ProcessingzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shanqi Pang +3 more
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Quantum Cyclic and Constacyclic Codes
IEEE Transactions on Information Theory, 2004Based on classical quaternary constacyclic linear codes, we construct a set of quantum codes with parameters [[(4/sup m/ -1)/3, (4/sup m/ -1)/3 -2(3l + b)m, 4l + b + 2]] where m/spl ges/4, 1/spl les/b/spl les/3, and 12l + 3b < 2 /spl times/ 4/sup /spl lfloor/(m+2)/3/spl rfloor//-1, which are better than the codes in Bierbrauer and Edel (2000).
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Ranks of repeated-root constacyclic code
Wuhan University Journal of Natural Sciences, 2016Hongju Li, Jian Ding, Yongsheng Tang
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Construction of repeated-root constacyclic code of length 8 ps over $F_{p^m } $
Wuhan University Journal of Natural Sciences, 2015Xiaoyan Zhang, Qili Mao
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