On the distribution of the entries of a fixed-rank random matrix over a finite field

DOI10.1016/j.ffa.2023.102333arXiv2307.14172OpenAlexW4388182097MaRDI QIDQ6185645

Carlo Sanna

Publication date: 8 January 2024

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.14172

zbMATH Keywords

finite fieldnormal distributionrankrandom matrixHamming weight

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Random matrices (algebraic aspects) (15B52)

Cites Work

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• A note on the distribution of weights of fixed-rank matrices over the binary field
• Handbook of Finite Fields
• Full Rank Factorization of Matrices
• Asymptotic Statistics
• Probability
• How Much Does a Matrix of Rank k Weigh?

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