3 papers
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…
cs.IT2017
Ulam Sphere Size Analysis for Permutation and Multipermutation Codes Correcting Translocation Errors
Justin Kong
Permutation and multipermutation codes in the Ulam metric have been suggested for use in non-volatile memory storage systems such as flash memory devices. In this paper we introduc…
cs.IT2017
Multipermutation Ulam Sphere Analysis Toward Characterizing Maximal Code Size
Justin Kong, Manabu Hagiwara
Permutation codes, in the form of rank modulation, have shown promise for applications such as flash memory. One of the metrics recently suggested as appropriate for rank modulatio…