Jan 26, 2024 · In this paper, we introduce a novel explicit family of subcodes of Reed-Solomon (RS) codes that efficiently achieve list decoding capacity with ...
Jan 26, 2024 · Abstract. In this paper, we introduce a novel explicit family of subcodes of Reed-Solomon. (RS) codes that efficiently achieve list decoding ...
Jan 26, 2024 · A novel explicit family of subcodes of Reed-Solomon (RS) codes that efficiently achieve list decoding capacity with a constant output list ...
Jul 12, 2024 · In this paper, we introduce a novel explicit family of subcodes of Reed-Solomon (RS) codes that efficiently achieve list decoding capacity ...
A novel explicit family of subcodes of Reed-Solomon (RS) codes that efficiently achieve list decoding capacity with a constant output list size by ...
Jun 2, 2023 · As a corollary, this implies that generic Reed-Solomon codes achieve list decoding capacity.
In this work, we show that folded RS codes and multiplicity codes are in fact better than previously known in the context of list decoding and local list ...
In this paper, we describe codes that get arbitrarily close to the list decoding capacity ρcap(R) for every rate. In other words, we give explicit codes of ...
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In this paper, we present error-correcting codes that achieve the information-theoretically best possible tradeoff between the rate and error-correction ...
We show that Reed–Solomon codes are list-decodable to capacity with linear field size O(n), which is optimal up to the constant factor. We also give evidence ...