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Showing 1 to 4 of 4 for “"Modular Multiplication"”.
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Modular multiplication in the residue number system
… algorithms and hardware architectures for the modular multiplication Z = A × B mod M. This operation is the basis of many public-key cryptosystems including RSA and Elliptic Curve Cryptography. The Residue Number System (RNS) is used to speed up long word length modular multiplication because …
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Efficient Binary Field Multiplication on a VLIW DSP
… public-key cryptography relies extensively on modular multiplication with long operands. We investigate the opportunities to optimize this operation in a heterogeneous multiprocessing platform such as TI OMAP3530. By migrating the long operand modular multiplication from a general-purpose ARM …
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Space-Efficient and Noise-Robust Quantum Factoring
… This technique also allows us to perform quantum modular exponentiation that is efficient in both space and size without requiring significant precomputation, a result that may be useful for other quantum algorithms. A key ingredient of our exponentiation implementation is an efficient circuit for …
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Efficient Architecture and Implementation for NTRU Based Systems
… is firstly presented. A novel design of the modular arithmetic unit is proposed to reduce the critical path delay. The FPGA implementation results have shown that the proposed design outperforms all the existing works in terms of area-delay product. Secondly, a new architecture using extended …