Studying the locator polynomials of minimum weight codewords of BCH codes
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Publication:4008329
DOI10.1109/18.135638zbMath0749.94015OpenAlexW2154075508MaRDI QIDQ4008329
Nicolas Sendrier, Pascale Charpin, Daniel Augot
Publication date: 27 September 1992
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-00723733/file/studying.pdf
cyclic codeNewton's identitieslocator polynomialBCH-codepunctured Reed-Muller codeprimitive binary cyclic codes
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On self-dual affine-invariant codes ⋮ The dimension and minimum distance of two classes of primitive BCH codes ⋮ 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 ⋮ Three classes of BCH codes and their duals ⋮ Some new results on dimension and Bose distance for various classes of BCH codes ⋮ Parameters of hulls of primitive binary narrow-sense BCH codes and their subcodes ⋮ BCH cyclic codes ⋮ Subcodes of Reed-Solomon Codes Suitable for Soft Decoding ⋮ On bases of BCH codes with designed distance 3 and their extensions ⋮ 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 ⋮ On explicit minimum weight bases for extended cyclic codes related to Gold functions ⋮ On the decoding of binary cyclic codes with the Newton identities ⋮ Bounded distance decoding of linear error-correcting codes with Gröbner bases ⋮ Probabilistic algorithm for finding roots of linearized polynomials ⋮ Extending and lengthening BCH codes. ⋮ Parameters and characterizations of hulls of some projective narrow-sense BCH codes
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