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The LLL lattice reduction has been widely used to decrease the bit error rate(BER) of the Babai point, but its running time varies much from matrix tomatrix. To address this problem, some fixed-complexity LLL reductions (FCLLL)have been proposed. In this paper, we propose two greedy selection based FCLLLalgorithms: GfcLLL(1) and GfcLLL(2). Simulations show that both of them giveBabai points with lower BER in similar or much shorter CPU time than existingones.

GfcLLL: A Greedy Selection Based Approach for Fixed-Complexity LLL Reduction