Generalized Hamming Weights of Cyclic Codes from Algebraic Function Fields

Wan Bao Hu; Xiao Hong  Fang

doi:10.4028/www.scientific.net/AMR.756-759.2588

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 756-759Generalized Hamming Weights of Cyclic Codes from...

Generalized Hamming Weights of Cyclic Codes from Algebraic Function Fields

Abstract:

The generalized Hamming weights of a linear code are fundamental code parameters related to the minimal overlap structures of the subcodes. In this paper, some results are presented on the estimates of generalized Hamming weights of cyclic codes, which connect their corresponding trace codes.

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Periodical:

Advanced Materials Research (Volumes 756-759)

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2588-2592

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.756-759.2588

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Online since:

September 2013

Authors:

Wan Bao Hu, Xiao Hong Fang

Keywords:

Algebraic Function Field, Cyclic Code, Generalized Hamming Weight

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References

[1] Victor K. Wei, Generalized hamming weights for linear codes, Transactions on Information Theory, vol. 37, no. 5, pp.1412-1413( 1991).

DOI: 10.1109/18.133259

Google Scholar

[2] G. L. Feng, K. K. Tzeng, and V. K. Wei, On the generalized Hamming weights of several classes of cyclic codes, , IEEE Trans. Inform. Theory, vol. 38, pp.1125-1130( 1992).

DOI: 10.1109/18.135653

Google Scholar

[3] Munuera C., Ramirez D., The second and third generalized Hamming weights of Hermitian codes,. IEEE Trans. Inform. Theory, vol. 45, p.709–713(1999).

DOI: 10.1109/18.749019

Google Scholar

[4] Munuera C., On the generalized Hamming weights of geometric Goppa codes, IEEE Trans. Inform. Theory, vol. 40, p.2092–2099(1994).

DOI: 10.1109/18.340488

Google Scholar

[5] H. Stichtenoth, Algebraic function fields and codes, Springer Universitext(1998, The second version).

Google Scholar

[6] Wolfmann, New bounds on cyclic codes from algebraic curves, in Lecture Notes in Computer Science, vol. 388. New York: Springer-Verlag, pp.47-62(1988).

DOI: 10.1007/bfb0019846

Google Scholar

[7] Wanbao Hu, Generalized hamming weight of algebraic geometric codes from algebraic curves, J. of university of science and technology of China, vol. 33, no. 6, pp.641-645(2003).

Google Scholar

[8] Masaaki Homma, Seon Jeong Kim, The second generalized Hamming weight for two-point codes on a Hermitian curve, Des. Codes Cryptogr. Vol. 50, p.1–40(2009).

DOI: 10.1007/s10623-008-9210-x

Google Scholar