Cube-root-subgroups of \(\operatorname{SL}_2\) over imaginary quadratic integers

zbMath1520.20103MaRDI QIDQ6179296

Miroslav Kureš

Publication date: 6 September 2023

Published in: Computer Science Journal of Moldova (Search for Journal in Brave)

Full work available at URL: http://www.math.md/publications/csjm/issues/v29-n2/13338/

zbMATH Keywords

imaginary quadratic fieldpublic-key cryptographyspecial linear groupring of integerslattice-based cryptosystemsnon-elementary matrices

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Linear algebraic groups over global fields and their integers (20G30) Quadratic and bilinear forms, inner products (15A63)

Cites Work

• Reduction of matrices over orders of imaginary quadratic fields
• On the structure of the \(GL_ 2\) of a ring
• The Unreasonable Slightness of E₂ over Imaginary Quadratic Rings
• Post-Quantum Cryptography
• Understanding Cryptography
• Detecting Products of Elementary Matrices in GL 2 ( Z [ √d )]
• Finite Groups of Matrices Whose Entries Are Integers
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