: In this paper, a new key-agreement scheme is proposed and analyzed. In
addition to being provably secure in the shared secret key indistinguishability
model under Decisional Diffie-Hellman assumption for subgroup of matrices over
GF(2) with prime order, which considered as basic security requirement, the
scheme has an interesting feature; it uses exponentiations over cyclic group
using hidden secret subgroup generator as a platform for the key exchange,
whereby — unlike many other exponentiation based key exchange schemes — it
transcends the reliance on intractability of Discrete Logarithm Problem in its

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