Factorizations in the elementary abelian \(p\)-group and their cryptographic significance

DOI10.1007/BF00203963zbMath0827.20061WikidataQ114234147 ScholiaQ114234147MaRDI QIDQ1340194

Scott A. Vanstone, Minghua Qu

Publication date: 3 December 1995

Published in: Journal of Cryptology (Search for Journal in Brave)

zbMATH Keywords

finite Abelian groupspublic-key cryptosystemselementary Abelian \(p\)-groupsgroup factorizationstranslations of transversal factorizations

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Cryptography (94A60) Data encryption (aspects in computer science) (68P25) Finite abelian groups (20K01)

Related Items (4)

Minimal logarithmic signatures for one type of classical groups ⋮ Guest editorial: Special issue in honor of Scott A. Vanstone ⋮ Cryptanalysis of the MST 3 public key cryptosystem ⋮ All exceptional groups of Lie type have minimal logarithmic signatures

Cites Work

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• Algebraic properties of cryptosystem PGM
• Zwei Lückensätze über Polynome in endlichen Primkörpern mit Anwendung auf die Abelschen Gruppen und die Gaus'schen Summen
• On the factorisation of finite abelian groups
• THE FACTORIZATION OF ABELIAN GROUPS
• Die neue Theorie der endlichen abelschen Gruppen und Verallgemeinerung des Hauptsatzes von Hajós
• Sur le problème de factorisation des groupes cycliques

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