Generating Idempotents of Quartic Residue Codes over the Field

Xue Dong Dong

doi:10.4028/www.scientific.net/AMM.519-520.953

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 519-520Generating Idempotents of Quartic Residue Codes...

Generating Idempotents of Quartic Residue Codes over the Field

Abstract:

The generating polynomials of higher power residue codes over finite fields are difficult to construct. This paper gives explicit expressions of generating idempotents of quartic residue codes over the field $F_4$.The result will enable one to construct the generating polynomials of quartic residue codes over the field $F_4$ by computing the greatest common divisors of these generating idempotents and the polynomial $x^n-1$ with computer software such as Matlab and Maple.

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Periodical:

Applied Mechanics and Materials (Volumes 519-520)

Pages:

953-956

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.519-520.953

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Online since:

February 2014

Authors:

Xue Dong Dong*

Keywords:

Cyclic Code, Generating Idempotent, Residue Code

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* - Corresponding Author

References

[1] E. Prange, I.S. Reed and T.K. Truong: Air Force Cambridge Research Center, Cambridge. 2(1958)58-156.

Google Scholar

[2] F.J. Macwilliams N.J.A. Sloane: The Theory of Error-Correcting Codes (Amsterdam, the Netherlands: North-Holland, 1977).W. Strunk Jr., E.B. White, The Elements of Style, third ed., Macmillan, New York, (1979).

Google Scholar

[3] T.C. Lin, H.P. Lee, H.C. Chang, T.K. Truong: Information Sciences. 197(2012)215-222.

Google Scholar

[4] P. Charters: Finite Fields and Their Applications. 15(2009)404-413.

Google Scholar

[5] X. Dong, J. Gao and L. Yang: Journal of Liaoning Normal University. 25(2002)1-2.

Google Scholar

[6] S. Zhu and A. Chen: Acta Electronic Sinica. 36(2008)2312-2314.

Google Scholar

[7] X. Dong, W. Li and Y. Zhang: Computer Engineering and Applications. 49(2013)41-44.

Google Scholar

[8] X. Dong, Yao Zhang and Yan Zhang: Computer Engineering and Applications, in press.

Google Scholar

[9] X. Dong: Applied Mechanics and Materials. 385-386 (2013)1797-1800.

Google Scholar

[10] W.C. Huffman and V. Pless: Fundamentals of Error Correcting Codes (Cambridge University Press 2003).

Google Scholar