Applications of Gaussian Binomials to Coding Theory for Deletion Error Correction
arXiv:1906.03385
Abstract
We present new applications on -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.
17 pages, 2 figures