Abstract: “BHASKAR BISWASA new key agreement scheme based on elgamal and triple decomposition problem over non commutative platforms is presented. An understanding of the new scheme over braid groups is provided and the strengths of it over an earlier scheme that rely on a similar system based on other decomposition problems are discussed. The new scheme provides better security over earlier schemes on non-commutative platforms by countering the linear algebra and length based attacks.”

Keywords: Key exchange, Elgamal, Triple decomposition, Braid, Non-commutative, Linear algebra, cryptography