Minimal logarithmic signatures for finite groups of Lie type

DOI10.1007/s10623-010-9369-9zbMath1202.94199OpenAlexW2065716701WikidataQ115384024 ScholiaQ115384024MaRDI QIDQ970543

Nikhil Singhi, Nidhi Singhi, Spyros S. Magliveras

Publication date: 19 May 2010

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-010-9369-9

zbMATH Keywords

finite groups of Lie typesimple groupslogarithmic signaturesSinger groups

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear algebraic groups over finite fields (20G40) Cryptography (94A60) Simple groups: alternating groups and groups of Lie type (20D06) Applications to coding theory and cryptography of arithmetic geometry (14G50) Authentication, digital signatures and secret sharing (94A62)

Related Items

Minimal logarithmic signatures for one type of classical groups ⋮ The existence of minimal logarithmic signatures for the sporadic Suzuki and simple Suzuki groups ⋮ Minimal logarithmic signatures for the unitary group \(U_n(q)\) ⋮ The Existence of Minimal Logarithmic Signatures for Some Finite Simple Groups ⋮ Minimal logarithmic signatures for classical groups ⋮ All exceptional groups of Lie type have minimal logarithmic signatures ⋮ The existence of minimal logarithmic signatures for some finite simple unitary groups ⋮ Factoring nonabelian finite groups into two subsets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal logarithmic signatures for classical groups
• A public key cryptosystem based on non-abelian finite groups
• Algebraic properties of cryptosystem PGM
• Maximal overgroups of Singer elements in classical groups
• New approaches to designing public key cryptosystems using one-way functions and trapdoors in finite groups
• Remarks on Singer cyclic groups and their normalizers.
• Topics in factorization of Abelian groups.
• Weak keys in MST\(_{1}\)
• On Minimal Factorisations of Sporadic Groups
• On Minimal Length Factorizations of Finite Groups
• Singer Groups
• On Minimal Logarithmic Signatures of Finite Groups
• A Theorem in Finite Projective Geometry and Some Applications to Number Theory