Li, Y., Wang, M.: Permutation polynomials EA-equivalent to the inverse function over GF(2n). Cryptogr. Commun. 3(3), 175-186 (2011)Li, Y., and Wang M., Permutation polynomials EA-equivalent to the inverse funct
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You can create matrices of integers where all the elements are 0 or 1, but there is no built-in knowledge in those libraries that arithmetic is mod 2.For example, you might use Eigen to create an integer matrix of all 0's and 1's and then use a built-in function from that library...
Keywords: Discrete logarithm, Function field sieve, Cryptanalysis, Number theory. 1 Introduction The discrete logarithm problem (DLP) is the cornerstone of a large part of public- key cryptography. Multiplicative groups of finite fields were the first proposed groups for cryptography, meeting the ...
For example, after we create a function template. We could use the template in integer number fields, floating point number fields or some other number fields without rewrite the source code. The Linbox package has been integrated into parallel GNFS package. For integer factorization process, we...
Definition 1: The trace function Tr(x) over GF(2 m )is de- fined as [5] Tr(x) = m−1 i=0 x 2 i . Definition 2: A basis {β 0 ,β 1 , . . . , β m−1 } in GF(2 m ) is said to be the dual basis (DB) of {1, α, α 2 , . . . , α ...
Fig. 2. Three ways of implementing a function on a reconfigurable computer on an FPGA, and 3) as a Hardware Description Language (HDL) macro running on an FPGA. As a result, any program developed for execution on the SRC-6E needs to be parti- ...
A polynomial is an algebraic function of two or more summed terms, each term consisting of a constant multiplier and one or more variables raised, in general, to integral powers. Binary Galois Field GF(2m) multiplication is typically defined in polynomial basis (PB) representation. For example,...
In terms of the hardware implementation, the speed increase in our approach is mainly contributed by the digital signal processor (DSP) cores in the modern FPGA that function as digit multipliers. The proposed multiplier is fully pipelined, in which new input can be processed for each cycle. Th...
2. 2+ years information security / cyber security working experience or relevant control function in financial field. 3. Familiarize with technology risk management and regulatory requirements 4. Hands on experience of application security assessment, cloud security, vulnerability management, network ...