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Showing 1 to 4 of 4 for “"Binary Field"”.
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Efficient Binary Field Multiplication on a VLIW DSP
… proposed multiplication utilizes Multi-Precision Binary Polynomial Multiplication with Unbalanced Exponent Modular Reduction. The resulting DSP implementation performs a GF(2^233) multiplication in less than 1.31us, which is over a seven times speed up when compared with the ARM implementation on …
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FPGA Implementations of Elliptic Curve Cryptography and Tate Pairing over Binary Field
… bases of both ECC and Tate pairing are Galois field arithmetic units. In this thesis, I propose the FPGA implementations of the elliptic curve point multiplication in GF (2283) as well as Tate pairing computation on supersingular elliptic curve in GF (2283). I have designed and synthesized the …
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Multiple access networks over finite fields : optimality of separation, randomness and linearity
… transmit and noise alphabets belong to a finite field. We show that source-channel separation holds when the additive noise is independent of inputs. However, for input-dependent noise, separation may not hold. For channels over the binary field, we derive the expression for the probability of …
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Elliptic Curve Cryptography on Heterogeneous Multicore Platform
Elliptic curve cryptography (ECC) is becoming the algorithm of choice for digital signature generation and authentication in embedded context. However, performance of ECC and the underlying modular arithmetic on embedded processors remains a concern. At the same time, more complex system-on-chip …