Applications of Gaussian Binomials to Coding Theory for Deletion Error Correction

Published 8 Jun 2019 in cs.IT and math.IT | (1906.03385v2)

Abstract: We present new applications on $q$-binomials, also known as Gaussian binomial coefficients. Our main theorems determine cardinalities of certain error-correcting codes based on Varshamov-Tenengolts codes and prove a curious phenomenon relating to deletion sphere for specific cases.

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