Applications of Gaussian Binomials to Coding Theory for Deletion Error Correction
Information Theory
2019-06-13 v2 math.IT
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.
Cite
@article{arxiv.1906.03385,
title = {Applications of Gaussian Binomials to Coding Theory for Deletion Error Correction},
author = {Manabu Hagiwara and Justin Kong},
journal= {arXiv preprint arXiv:1906.03385},
year = {2019}
}
Comments
17 pages, 2 figures