A Combinatorial Bound on the List Size
نویسندگان
چکیده
We provide a simple, closed-form upper bound for the classical problem of worst case list-size of a general q-ary block code. This new bound improves upon the best known general bound when the alphabet of the code is large. We also show that with parameters of Reed-Solomon codes this bound is very close to the algebraic bound derived using the constructions of the Guruswami-Sudan decoder.
منابع مشابه
عدد تناوبی گرافها
In 2015, Alishahi and Hajiabolhassan introduced the altermatic number of graphs as a lower bound for the chromatic number of them. Their proof is based on the Tucker lemma, a combinatorial counterpart of the Borsuk-Ulam theorem, which is a well-known result in topological combinatorics. In this paper, we present a combinatorial proof for the Alishahi-Hajiabolhassan theorem.
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