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  1. Journal of Systems Science and Complexity
  2. Journal of Systems Science and Complexity : Volume 25
  3. Journal of Systems Science and Complexity : Volume 25, Issue 3, June 2012
  4. NNMDS codes
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Journal of Systems Science and Complexity : Volume 30
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Journal of Systems Science and Complexity : Volume 25
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Journal of Systems Science and Complexity : Volume 25, Issue 3, June 2012
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NNMDS codes
Journal of Systems Science and Complexity : Volume 25, Issue 2, April 2012
Journal of Systems Science and Complexity : Volume 25, Issue 1, February 2012
Journal of Systems Science and Complexity : Volume 24
Journal of Systems Science and Complexity : Volume 23
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Journal of Systems Science and Complexity : Volume 21
Journal of Systems Science and Complexity : Volume 20
Journal of Systems Science and Complexity : Volume 19

NNMDS codes

Content Provider SpringerLink
Author Tong, Hongxi
Copyright Year 2012
Abstract C is an [n, k, d]$_{ q }$ linear code over $\mathbb{F}_q $ . And s(C) = n + 1 − k − d is the Singleton defect of C. AnMDS code C with s(C) = 0 has been studied extensively. Recently, a near-MDS code C with s(C) = s(C $^{⊥}$) = 1 is studied by many scholars, where C $^{⊥}$ denotes the dual code of C. This paper concentrates on the linear code C with s(C) = s(C $^{⊥}$) = 2, and the author calls it an NNMDS code. A series of iff conditions of NNMDS codes are presented. And the author gives an upper bound on length of NNMDS codes. In the last, some examples of NNMDS are given.
Starting Page 617
Ending Page 624
Page Count 8
File Format PDF
ISSN 10096124
Journal Journal of Systems Science and Complexity
Volume Number 25
Issue Number 3
e-ISSN 15597067
Language English
Publisher Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Publisher Date 2012-06-14
Publisher Place Beijing
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Generalized Hamming weights linear codes MDS Codes near-MDS codes singleton defects Statistics Mathematics of Computing Statistical Physics, Dynamical Systems and Complexity Operations Research/Decision Theory Systems Theory, Control
Content Type Text
Resource Type Article
Subject Information Systems
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