Applications of Gaussian Binomials to Coding Theory for Deletion Error Correction

06/08/2019

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by   Manabu Hagiwara, et al.

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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.