Applications of Gaussian Binomials to Coding Theory for Deletion Error Correction
Manabu Hagiwara, Han-Bae Kong · arXiv (Cornell University) · 2019
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.