Binary Exchange Algorithm (BEA) always introduces excessive shuffle operations when mapping FFTs on vector SIMD DSPs. This can greatly restrict the overall performance. We propose a novel mod (2P-1) shuffle function and Mod-BEA algorithm (MBEA), which can halve the shuffle operation count and unify the shuffle mode. Such unified shuffle mode inspires us to propose a set of novel mod (2P-1) shuffle memory-access instructions, which can totally eliminate the shuffle operations. Experimental results show that the combination of MBEA and the proposed instructions can bring 17.2%-31.4% performance improvements at reasonable hardware cost, and compress the code size by about 30%.