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Perfect Multi Deletion Codes Achieve the Asymptotic Optimality of Code Size

2019/10/13 by Mori, Takehiko, Hagiwara, Manabu
#Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1910.06740

Abstract

This paper studies on the cardinality of perfect multi deletion binary codes. The lower bound for any perfect deletion code with the fixed code length and the number of deletions, and the asymptotic achievable of Levenshtein's upper bound are shown.

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