PIR codes from combinatorial structures

DOI10.1007/978-3-031-22944-2_10arXiv2107.01169OpenAlexW3178112581MaRDI QIDQ6169010

Massimo Giulietti, Arianna Sabatini, Marco Timpanella

Publication date: 10 August 2023

Published in: Arithmetic of Finite Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.01169

zbMATH Keywords

packingsconfigurationsPIR codesprivacy information retrieval

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Privacy of data (68P27)

Cites Work

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• The semigroup of combinatorial configurations
• Partitioning the planes of \(AG_{2m}(2)\) into 2-designs
• Nonsymmetric configurations with natural index
• On parallelisms in finite projective spaces
• Resolvable configurations
• On resolvable Golomb rulers, symmetric configurations and progressive dinner parties
• Line partitions of internal points to a conic in \(PG (2,q)\)
• Maximal arcs, codes, and new links between projective planes of order 16
• PIR codes with short block length

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