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Constructions for Optimal Binary Locally Repairable Codes

최적의 이진 부분접속 복구 부호 생성법

  • Nam, Mi-Young (School of Electrical and Electronic Engineering, Yonsei University) ;
  • Song, Hong-Yeop (School of Electrical and Electronic Engineering, Yonsei University)
  • Received : 2016.09.09
  • Accepted : 2016.09.27
  • Published : 2016.10.31

Abstract

We propose some binary locally repairable codes with locality 2 uising a parity-check matrix. The minimum distance of the proposed codes is 6. The proposed codes are optimal in the sense of achieving the upper bound of dimension for given length, minimum distance, and locality.

본 논문에서는 패리티 검사 행렬에 기반하여 부분접속수가 2인 이진 부분접속 복구 부호의 생성법을 제안한다. 제안하는 부호는 항상 최소거리 6을 갖는다. 이 부호는 부호의 길이와 최소거리가 주어졌을 때 부분접속수가 2인 부호가 가질 수 있는 최대의 차원을 갖는다는 관점에서 최적이다.

Keywords

References

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