English

Evaluation of the Gilbert-Varshamov Bound using Multivariate Analytic Combinatorics

Combinatorics 2024-09-04 v1

Abstract

Analytic combinatorics in several variables refers to a suite of tools that provide sharp asymptotic estimates for certain combinatorial quantities. In this paper, we apply these tools to determine the Gilbert-Varshamov (GV) bound for the sticky insertion and the constrained-synthesis channel.

Cite

@article{arxiv.2305.04439,
  title  = {Evaluation of the Gilbert-Varshamov Bound using Multivariate Analytic Combinatorics},
  author = {Goyal Keshav and Duc Tu Dao and Han Mao Kiah and Mladen Kovacevic},
  journal= {arXiv preprint arXiv:2305.04439},
  year   = {2024}
}
R2 v1 2026-06-28T10:28:17.845Z