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cs.IT2024
Evaluating the Gilbert-Varshamov Bound for Constrained Systems
Keshav Goyal, Han Mao Kiah
We revisit the well-known Gilbert-Varshamov (GV) bound for constrained systems. In 1991, Kolesnik and Krachkovsky showed that GV bound can be determined via the solution of some op…
cs.IT2024★ 3 cited
Gilbert-Varshamov Bound for Codes in Metric using Multivariate Analytic Combinatorics
Keshav Goyal, Duc Tu Dao, Mladen Kovačević +1
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 t…