CryptographyThis research constructs a candidate flanking-exponentiation permutation, develops its formal properties and presents a reproducible evaluation framework for algebraic and cryptographic analysis.
KnowledgeTrend researcherCryptography research manuscript · 2026
AlgebraThis paper investigates the enumeration of elements in three classes of signed partial transformation semigroups: partial signed order-preserving, partial signed order-decreasing, and partial signed order-preserving-or-order-reversing transformations. It examines the reported PSPD₄ numerical inconsistency and develops a domain-rank framework for extending t…
KnowledgeTrend researcherInternational Journal of Mathematics and Statistics · 2026
Algebra & CryptographyA unified framework connecting finite algebraic structures, homomorphism enumeration, quotient constructions, fuzzy group actions and conjugacy-class methods. The work defines structural complexity indices and develops results for kernels, cyclic homomorphic images, fuzzy stabilizers and conjugacy-based key agreement.
KnowledgeTrend researcherKnowledgeTrend Research · 2026