Cryptographic multilinear maps using pro-\(p\) groups

DOI10.3934/amc.2021041zbMath1517.94113arXiv2102.04513OpenAlexW3201529887WikidataQ114844116 ScholiaQ114844116MaRDI QIDQ6163788

Mima Stanojkovski, Delaram Kahrobaei

Publication date: 30 June 2023

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04513

zbMATH Keywords

pro-\(p\) groupsmultilinear maps\(p\) groupsnon-interactive key-exchange

Mathematics Subject Classification ID

Cryptography (94A60) Finite nilpotent groups, (p)-groups (20D15) Limits, profinite groups (20E18)

Cites Work

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• On a special class of \(p\)-groups
• The Pohlig-Hellman method generalized for group structure computation
• Bilinear cryptography using groups of nilpotency class 2
• Practical Multilinear Maps over the Integers
• Structure computation and discrete logarithms in finite abelian $p$-groups
• Analytic pro-p groups of small dimensions
• New directions in cryptography
• An improved algorithm for computing logarithms over<tex>GF(p)</tex>and its cryptographic significance (Corresp.)
• Non-Interactive Key Exchange
• Candidate Multilinear Maps from Ideal Lattices
• Multilinear cryptography using nilpotent groups
• Algorithmic problems in Engel groups and cryptographic applications
• Intense Automorphisms of Finite Groups
• Graph-Induced Multilinear Maps from Lattices
• Endliche Gruppen I
• Profinite Groups

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