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math.CO2019★ 1 cited
Perfect Multi Deletion Codes Achieve the Asymptotic Optimality of Code Size
Takehiko Mori, Manabu Hagiwara
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,…
cs.IT2019
Applications of Gaussian Binomials to Coding Theory for Deletion Error Correction
Manabu Hagiwara, Justin Kong
We present new applications on -binomials, also known as Gaussian binomial coefficients. Our main theorems determine cardinalities of certain error-correcting codes based on Var…