Determinant-preserving blind signatures from Hadamard-type t-Jacobsthal–Leonardo sequences

In this paper, we introduce a new class of sequences called the termed Hadamard-type t-Jacobsthal-Leonardo sequence which is generated by applying a Hadamard-type product to the characteristic polynomials of the t-Jacobsthal and Leonardo sequences. We derive fundamental algebraic properties of these sequences including determinant formulas, combinatorial identities, and exponential representations, and building on these mathematical results, we construct a novel blind signature scheme in which the public and secret keys are represented as companion matrices derived from the new sequences. The proposed scheme ensures correctness through determinant-preserving transformations and achieves blindness and unforgeability under matrix- based key assumptions. We provide security analysis within the standard cryptographic framework and discuss efficiency aspects compared with existing blind signature constructions. Our results demonstrate that Hadamard-type t-Jacobsthal-Leonardo matrices can serve as a new algebraic foundation for cryptographic protocols, thereby linking structured number-theoretic sequences with provably secure digital signature mechanisms.