Group ring cryptography

zbMath1248.94071arXiv1104.1724MaRDI QIDQ3015975

Barry Hurley, T. C. Hurley

Publication date: 13 July 2011

Full work available at URL: https://arxiv.org/abs/1104.1724

zbMATH Keywords

codingpublic key cryptographygroup ringunits in group rings

Mathematics Subject Classification ID

Cryptography (94A60) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (12)

Group ring based public key cryptosystems ⋮ Algebraic simplification and cryptographic motives. ⋮ Unnamed Item ⋮ The unit groups of semisimple group algebras of some non-metabelian groups of order $144$ ⋮ Linear decomposition method in analyzing hidden information protocols on algebraic platforms ⋮ Trinomial coefficients, Fibonacci numbers and units of the group \(\mathcal{U}(\mathbb{Z} C_p)\) ⋮ Unitary and Symmetric Units of a Commutative Group Algebra ⋮ On unit group of finite semisimple group algebras of non-metabelian groups of order 108 ⋮ Two general schemes of algebraic cryptography ⋮ Remark on coding in algebras with strong filtration ⋮ Extending an established isomorphism between group rings and a subring of the n × n matrices ⋮ A novel public-key encryption scheme based on Bass cyclic units in integral group rings

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