The Bose and Minimum Distance of a Class of BCH Codes
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Publication:2978609
DOI10.1109/TIT.2015.2409838zbMath1359.94686MaRDI QIDQ2978609
Cunsheng Ding, Zhengchun Zhou, Xiaoni Du
Publication date: 28 April 2017
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Related Items (32)
Cyclic codes with generalized cyclotomic cubic classes ⋮ Some binary BCH codes with length \(n = 2^m + 1\) ⋮ Cyclic codes from the first class two-prime Whiteman's generalized cyclotomic sequence with order 6 ⋮ Quantum BCH codes with maximum designed distance ⋮ The dimension and minimum distance of two classes of primitive BCH codes ⋮ Dimensions of three types of BCH codes over \(\mathrm{GF}(q)\) ⋮ A class of negacyclic BCH codes and its application to quantum codes ⋮ Hermitian LCD codes from cyclic codes ⋮ Designed distances and parameters of new LCD BCH codes over finite fields ⋮ A class of constacyclic BCH codes ⋮ Infinite families of 3-designs from a type of five-weight code ⋮ More results on hulls of some primitive binary and ternary BCH codes ⋮ The Minimum Distance of Some Narrow-Sense Primitive BCH Codes ⋮ BCH codes with larger dimensional hull ⋮ Dimensions of nonbinary antiprimitive BCH codes and some conjectures ⋮ Three classes of BCH codes and their duals ⋮ Some new results on dimension and Bose distance for various classes of BCH codes ⋮ Two families of negacyclic BCH codes ⋮ Parameters of hulls of primitive binary narrow-sense BCH codes and their subcodes ⋮ The maximum designed distances of dual-containing non-primitive BCH codes ⋮ New quantum codes derived from a family of antiprimitive BCH codes ⋮ BCH cyclic codes ⋮ Cyclic codes via the general two-prime generalized cyclotomic sequence of order two ⋮ BCH Codes with Minimum Distance Proportional to Code Length ⋮ Five families of the narrow-sense primitive BCH codes over finite fields ⋮ A class of primitive BCH codes and their weight distribution ⋮ Cyclic codes from the second class two-prime Whiteman's generalized cyclotomic sequence with order 6 ⋮ On some cyclic codes of length \(\frac{q^{2m} - 1}{q + 1} \) ⋮ Parameters of LCD BCH codes with two lengths ⋮ A class of narrow-sense BCH codes over \(\mathbb{F}_q\) of length \(\frac{q^m-1}{2} \) ⋮ Parameters and characterizations of hulls of some projective narrow-sense BCH codes ⋮ The dual-containing primitive BCH codes with the maximum designed distance and their applications to quantum codes
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