MDS poset-codes satisfying the asymptotic Gilbert-Varshamov bound in hamming weights
- 주제(키워드) Gilbert-Varshamov bound , MDS poset-code , NRT-metric , poset-isometry , poset-metric
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Institute of Electrical and Electronics Engineers
- 발행년도 2011
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000092973
- 본문언어 영어
- Published As http://dx.doi.org/10.1109/TIT.2011.2170111
초록/요약
We prove that MDS linear poset-codes satisfy Gilbert-Varshamov bound for their Hamming weights asymptotically. We also construct MDS linear poset-codes on arbitrary poset-metric spaces by using the Dilworth's chain decomposition theorem and results about the Hermite interpolation problem over a finite field. We prove that there exist linear poset-codes with large weights for both poset-metrics and Hamming metrics, as well. © 2006 IEEE.
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