Computer Science > Information Theory
[Submitted on 7 Jun 2023
]
Title: Randomized Decoding of Linearized Reed-Solomon Codes Beyond the Unique Decoding Radius
Title: 线性化里德-索罗门码的超出唯一解码半径的随机解码
Abstract: In this paper we address the problem of decoding linearized Reed-Solomon (LRS) codes beyond their unique decoding radius. We analyze the complexity in order to evaluate if the considered problem is of cryptographic relevance, i.e., can be used to design cryptosystems that are computationally hard to break. We show that our proposed algorithm improves over other generic algorithms that do not take into account the underlying code structure.
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