Generating Idempotents of Cubic Residue Codes over the Field F4

Xue Dong Dong

doi:10.4028/www.scientific.net/AMM.385-386.1797

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 385-386Generating Idempotents of Cubic Residue Codes over...

Generating Idempotents of Cubic Residue Codes over the Field F₄

Abstract:

The generating polynomials of higher power residue codes over finite fields are factors of the polynomial .Generally speaking; it is difficult to factor the polynomial over finite fields. This paper gives generating idempotents of cubic residue codes over the field .As a result, the generating polynomials of cubic residue codes over the field can be obtained by computing the greatest common divisors of these generating idempotents and the polynomial with computer software such as Matlab and Maple.

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Periodical:

Applied Mechanics and Materials (Volumes 385-386)

Pages:

1797-1800

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.385-386.1797

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Online since:

August 2013

Authors:

Xue Dong Dong

Keywords:

Cyclic Code, Generating Idempotent, Residue Code

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