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- W4236034255 abstract "In this work, we introduce a method by which it is established that; how a sequence of non-primitive BCH codes can be obtained by a given primitive BCH code. For this, we rush to the out of routine assembling technique of BCH codes and use the structure of monoid rings instead of polynomial rings. Accordingly, it is gotten that there is a sequence ${C_{b^{j}n}}_{1leq jleq m}$, where $b^{j}n$ is the length of $C_{b^{j}n}$, of non-primitive binary BCH codes against a given binary BCH code $C_{n}$ of length $n$. Matlab based simulated algorithms for encoding and decoding for these type of codes are introduced. Matlab provides built in routines for construction of a primitive BCH code, but impose several constraints, like degree $s$ of primitive irreducible polynomial should be less than $16$. This work focuses on non-primitive irreducible polynomials having degree $bs$, which go far more than 16." @default.
- W4236034255 created "2022-05-12" @default.
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- W4236034255 date "2018-09-12" @default.
- W4236034255 modified "2023-09-30" @default.
- W4236034255 title "Sequences of Primitive and Non-primitive BCH Codes" @default.
- W4236034255 doi "https://doi.org/10.5540/tema.2018.019.02.369" @default.
- W4236034255 hasPublicationYear "2018" @default.
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