Summary

The 2018 International Symposium on Information Theory and Its Applications (ISITA2018)

2018

Session Number:We-PM-1-1

Session:

Number:We-PM-1-1.4

An Upper Bound on the Generalized Cayley Distance

Akira Yamawaki,  Hiroshi Kamabe,  Shan Lu,  

pp.632-636

Publication Date:2018/10/18

Online ISSN:2188-5079

DOI:10.34385/proc.55.We-PM-1-1.4

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Summary:
Permutation codes with various metrics have recently been studied for flash memory applications. In this work, we derive a tighter upper bound on the generalized Cayley distance using the block permutation distance proposed by Yang, Schoeny, and Dolecek. Furthermore, we employ our upper bound to derive a tighter upper bound on the optimal rate for codes with the generalized Cayley distance when the code length is relatively small.