Alessandro Neri
4 papers in the PaperMetrix corpus
Papers by this author
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New Lower Bounds for Permutation Codes Using Linear Block Codes
2019 · IEEE Transactions on Information Theory
In this paper we prove new lower bounds for the maximal size of permutation codes by connecting the theory of permutation codes with the theory of linear block codes. More specifically, using the columns of …
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Constructing Partial MDS Codes from Reducible Curves
2020 · arXiv (Cornell University)
We propose reducible algebraic curves as a mechanism to construct Partial MDS (PMDS) codes geometrically. We obtain new general existence results, new explicit constructions and improved estimates on the smallest field sizes over which such …
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Extending two families of maximum rank distance codes
2021 · arXiv (Cornell University)
In this paper we provide a large family of rank-metric codes, which contains properly the codes recently found by Longobardi and Zanella (2021) and by Longobardi, Marino, Trombetti and Zhou (2021). These codes are $\mathbb{F}_{q^{2t}}$-linear …
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Weighted Reed-Solomon convolutional codes
2020 · arXiv (Cornell University)
In this paper we present a concrete algebraic construction of a novel class of convolutional codes. These codes are built upon generalized Vandermonde matrices and therefore can be seen as a natural extension of Reed-Solomon …