On <em>l</em>-th NMDS Codes

TONG Hongxi; CHEN Wenhai; YU Fei

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Article Navigation > Chinese Journal of Electronics > 2014 > 23(3): 454-457

TONG Hongxi, CHEN Wenhai, YU Fei, “On l-th NMDS Codes,” Chinese Journal of Electronics, vol. 23, no. 3, pp. 454-457, 2014,

Citation:

TONG Hongxi, CHEN Wenhai, YU Fei, “On l-th NMDS Codes,” Chinese Journal of Electronics, vol. 23, no. 3, pp. 454-457, 2014,

TONG Hongxi, CHEN Wenhai, YU Fei, “On l-th NMDS Codes,” Chinese Journal of Electronics, vol. 23, no. 3, pp. 454-457, 2014,

Citation:

TONG Hongxi, CHEN Wenhai, YU Fei, “On l-th NMDS Codes,” Chinese Journal of Electronics, vol. 23, no. 3, pp. 454-457, 2014,

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On l-th NMDS Codes

1.
Department of Mathematics, Shanghai University, Shanghai 200444, China;
2.
Science and Technology on Communication Security Laboratory, Chengdu 610041, China

Received Date: 2011-10-01
Rev Recd Date: 2013-11-01
Publish Date: 2014-07-05

Abstract

Abstract

Linear codes with Singleton defects equivalent to 0, 1, 2 are studied, and they have good properties. They are called MDS codes, NMDS codes, NNMDS cdoes, respectively. In this paper, we study linear codes with large Singleton defects and these codes have same good properties with MDS codes, NMDS codes, NNMDS codes. We call them l-th NMDS codes. A series of iff conditions of l-th NMDS codes is presented. And we give an upper bound on length of l-th NMDS codes. In the last, some examples of l-th NMDS codes are given.
- Linear codes,
- Maximum distance separated (MDS) codes,
- Singleton defects,
- Near maximum distance separated (NMDS) codes,
- Generalized Hamming weights

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References(10)

References

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