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AG Codes Achieve List-decoding Capacity over Constant ...
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由 J Brakensiek 著作2023被引用 10 次 — Randomly punctured AG codes of rate R achieve list-decoding capacity with list size O(1/\epsilon) and field size \exp(O(1/\epsilon^2)).
AG Codes Achieve List Decoding Capacity over Constant ...
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2024年6月11日 — In particular, they achieve list-decoding capacity with list size O(1/є) and field size exp(O(1/є2)). Prior to this work, AG codes were not even ...
AG Codes Achieve List-decoding Capacity over Constant- ...
arXiv
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由 J Brakensiek 著作2023被引用 10 次 — We show that by simple random puncturing of an AG code, we can achieve relaxed LD-MDS codes over constant size fields. In fact, the field size ...
AG Codes Achieve List Decoding Capacity over Constant- ...
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由 J Brakensiek 著作2024被引用 10 次 — By randomly puncturing algebraic-geometric codes, we can con- struct relaxed MR tensor codes with a single parity check per col- umn over constant-sized fields, ...
AG Codes Achieve List Decoding Capacity over Constant- ...
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由 J Brakensiek 著作2024被引用 10 次 — In particular, they achieve list-decoding capacity with list size O(1/𝜖) and field size exp(O(1/𝜖 2 )). Prior to this work, AG codes were not even known to ...
AG Codes Achieve List Decoding Capacity over Constant- ...
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AG Codes Achieve List Decoding Capacity over Constant-Sized Fields ... To read the full-text of this research, you can request a copy directly from the authors.
AG codes achieve list decoding capacity - Zihan's Homepage!
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“AG Codes Achieve List Decoding Capacity over Constant-Sized Fields.” In proceedings of the 56th Annual ACM Symposium on Theory of Computing (STOC 2024), ...
Zihan Zhang
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Randomly punctured reed-solomon codes achieve the list decoding capacity over polynomial-size alphabets · AG codes achieve list decoding capacity over constant- ...
Generic Reed-Solomon Codes Achieve List-Decoding ...
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This work shows that Reed–Solomon codes are list-decodable to capacity with linear field size O(n), which is optimal up to the constant factor.
Generic Reed–Solomon Codes Achieve List-Decoding ...
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More concretely, we show that, with high probability, a random Reed–Solomon code of rate R over an exponentially large field is list decodable from radius 1 − R ...