Ferdinando Zullo
3 papers in the PaperMetrix corpus
Papers by this author
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A special class of scattered subspaces
2019 · arXiv (Cornell University)
Let $V$ be an $r$-dimensional $\mathbb{F}_{q^n}$-vector space. We call an $\mathbb{F}_q$-subspace $U$ of $V$ $h$-scattered if $U$ meets the $h$-dimensional $\mathbb{F}_{q^n}$-subspaces of $V$ in $\mathbb{F}_q$-subspaces of dimension at most $h$. For $h=1$ and $\dim_q U=rn/2$ …
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Encoding and Decoding of Several Optimal Rank Metric Codes
2022 · arXiv (Cornell University)
This paper presents encoding and decoding algorithms for several families of optimal rank metric codes whose codes are in restricted forms of symmetric, alternating and Hermitian matrices. First, we show the evaluation encoding is the …
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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 …