Dihedral group order 12 noncommutative cryptography primitive generations

Noncommutative Cryptography is one of the most interesting application fields for strengthening security concerns and a robust performance approach. The base of the same works on hidden subfield and hidden subgroup problem (HSP). We proposed cryptological working schemes using dihedral group order 12 approach, in this manuscript. The generation of cryptographic primitives on key exchange directly its monomials generation are having the potential advancement in the field of security achievements. The length-based attacks are advanced compared to its Dihedral Group Order 8, which has worked in part of extra special group.