Extensions of the Levine-Nahikian method for constructing involutory matrices

DOI10.1016/0024-3795(84)90191-5zbMath0526.15001OpenAlexW2032896405MaRDI QIDQ594961

Randall E. Cline, Robert M. McConnel

Publication date: 1984

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90191-5

zbMATH Keywords

finite fieldsalgebraic cryptographyconstructing involutory matricesLevine-Nahikian method

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Linear transformations, semilinear transformations (15A04)

Cites Work

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• Automorphisms of Abelian groups induced by involutory matrices
• Involutory matrices over finite commutative rings
• Automorphisms of Abelian groups induced by involutory matrices, general modulus
• Similar involutory matrices modulo R
• Symmetric involutory matrices over finite fields and modular rings of integers
• Certain sets of involutory matrices and their groups
• Equivalence classes of involutory mappings
• Symmetric involutions over fields of characteristic 2
• Automorphisms of abelian groups induced by involutory matrices, modulo \(p>2\)
• On Involutory Matrices
• The Matrix Equation X 2 - I = 0 Over a Finite Field
• Variable Matrix Substitution in Algebraic Crytography
• Some Elementary Cryptanalysis of Algebraic Cryptography
• On the Construction of Involutory Matrices
• Similar Involutory Matrices (mod p m )
• The Matrix Congruence X 2 ≡I (mod p a )

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