Single orbit affine generators for extended BCH codes with designed distance three

We show that for any prime p, p ≠ 2, 3 and any m, m ≥ 3 the narrow-sense BCH codes over GF (p) of length p m − 1 with designed distance three are not spanned by theirs minimum nonzero weight codewords. We prove that the extensions of these codes are spanned by their codewords of weight five and the...

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Veröffentlicht in:	2020 Algebraic and Combinatorial Coding Theory (ACCT) S. 1 - 3
Hauptverfasser:	Mogilnykh, Ivan, Solov'eva, Faina
Format:	Tagungsbericht
Sprache:	Englisch
Veröffentlicht:	IEEE 11.10.2020
Schlagworte:	affine group BCH code Generators Information theory minimum weight codewords Orbits single orbit generator
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