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On the property of properness in the extended triple-error-correcting BCH codes
International Journal of Statistics and Applied Mathematics · 2018 · Vol. 3(2) · pp. 45–47
Abstract
The undetected error probability Pu (€) for the primitive triple-error-correcting BCH codes of blocklength 2m - 1 on a BSC with cross-over probability € ≤ 1/2 has been widely studied. In this correspondence, extended triple-error-correcting BCH codes of blocklength 2m are studied and the results presented in are supported and strengthened but with a different approach i.e., it is proved that the extended triple-error-correcting BCH codes of blocklength 2m don’t satisfy the properties of proper codes for even m ≥ 6, m integer.
Coding theory and cryptographyAdvanced Wireless Communication TechniquesError Correcting Code TechniquesBCH codeInteger (computer science)MathematicsDiscrete mathematicsError detection and correctionComputer scienceArithmeticAlgorithm
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