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The whole computations of scalar multiplication over GF(2163) can be performed in 3 064 cycles.
Paillier is homomorphic over addition in and the corresponding function is multiplication over the ciphertext field.
The likelihood ratio function is a multiplication over all the contributions of likelihood ratio area cells.
A fast parallel architecture for the implementation of elliptic curve scalar multiplication over binary fields is presented.
A syntactically relevant pattern of eye movement was observed even when syntax was defined by implicit procedural rules (precedence of multiplication over addition) rather than explicit parentheses.
We perform analysis of most popular algorithms used for multiplication over finite fields; suggest efficient hardware solutions and point advantages and disadvantages of each algorithm.
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In particular, we apply the somewhat homomorphic encryption scheme proposed by Brakerski and Vaikuntanathan (CRYPTO 2011), which can support a limited number of both additions and multiplications over polynomials.
It is shown that the proposed techniques result into a more than one-order magnitude gain in terms of additions and multiplications over the classical one.
The resulting bitstream after entropy coding is converted into M packets by applying M FEC codes, which amounts to matrix-vector multiplications over finite fields [40].
There are (|mathcal {X}|) minimization operations, each of which requires (|mathcal {A}|) calculations of Q (n), and each Q (n) value requires (|mathcal {X}|) multiplications over state x ′.
Fig. 16 Application icon for dense matrix multiplication Fig. 17 The matrix matrix multiplying algorithm Fig. 18 The Maxeler manager connecting DFEs for matrix multiplication Fig. 19 Dividing of multiplications over several DFEs.
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