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Roots of triple error correcting codes with bch resembling domain

Abstract

Cyclic codes are most studied error correcting codes among the families of codes in coding theory. Vinocha and Kumar (2013) discovered some new zero set leading to the triple-error-correcting codes. In the present proposed work, we study on a new zero set of triple error correcting codes like BCH Code and proposed some new roots of error correcting code having roots {1, 32a + 1, 34a + 1} and {1, 32a + 1, 36a + 1} where gcd (2a, n) = 1.

Coding theory and cryptographyQuantum-Dot Cellular AutomataQuantum Computing Algorithms and ArchitectureBCH codeReed–Solomon error correctionError detection and correctionMathematicsLinear codeDiscrete mathematicsCyclic codeBlock codeAlgorithmComputer science
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Roots of triple error correcting codes with bch resembling domain · Scinovex