Post-quantum signature schemes for efficient hardware implementation

Post-quantum cryptosystems have attracted a great interest, from researchers, latest. This work introduces two new forms of the hidden discrete logarithm problem and three new post-quantum signature schemes. The finite non-commutative associative algebras of two types are used as the algebraic support of the proposed cryptoschemes: i) containing a global two-sided unit and ii) containing a large set of global left-sided units. The illustrated FPGA implementation results, show the efficiency of the proposed cryptographic schemes, in hardware approaches. Detailed comparisons, with other security hardware implementations, are also presented.