irreducible all-one polynomial
Analysis of Key Dependent Dynamic S-Boxes with Dynamic Irreducible polynomial and Affine Constant
... an irreducible polynomial dynamically from a pool of irreducible polynomials ...of all bytes of initial key in 1 st round and for other n-1 rounds sub keys, which are generated by key ...
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A new class of irreducible pentanomials for polynomial based multipliers in binary fields
... We prove that the complexity of the reduction depends on the exponents b and c of the pentanomial. A consequence of our result is that for a given degree m = 2b + c, for any positive integers b > c > 0, all ...
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Orthant spanning simplexes with minimal volume
... This polynomial cannot be solved using radicals for any n from 3 up to 15 when the coordinates of A are transcendental over Q ...the polynomial p 3 (t) of degree 7 is irreducible, then it ...
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Symbolic-Numeric Algebra for Polynomials »
... “absolutely irreducible” for numerical or empirical polynomials, since the given polynomial may have error parts on its coefficients even if the original polynomial is reduc- ...“absolutely ...
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VLSI Architecture for Systolic Like Modular Multipliers over GF (2m) Build on Irreducible All One Polynomials
... multipliers polynomial basis are relatively easy to design, and subjects to scalability for the higher order ...with polynomial-based multiplication ...and polynomial basis used for several ...
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Twisted forms of finite étale extensions and separable polynomials
... give one-dimensional rings over which finite étale extensions may not have either a primitive element nor a normal basis but which are twisted forms of extensions which ...separable polynomial which is ...
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Total characters and Chebyshev polynomials
... of all the irreducible characters of ...for all finite dihedral ...a polynomial exists, it is unique and it is the sum of certain Chebyshev polynomials of the first kind in any faithful ...
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Irreducible Polynomials in Ζ[x] That Are Reducible Modulo All Primes
... Then by FTGT ({ Fundamental Theorem of Galois Theory }) the field is of degree pq over . We also note that as H is not a normal subgroup of G , is not a normal extension of . Let α be an algebraic integer such ...
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Efficient Indexing of Necklaces and Irreducible Polynomials over Finite Fields
... have polynomial-time algorithms for indexing necklaces; the authors in [15] exercised more care in designing the algorithm to obtain a better polynomial running ...(indexing irreducible polynomials ...
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Finite Field Arithmetic Comparison over GF (p) and GF (2m)
... the irreducible polynomial for the ...the polynomial b(x) that is b(x) -1 , the irreducible polynomial m(x) is used for finding the inversion and the method is shown in Algorithm2 ...
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2.5.M3H.zeros.polynomials.pdf
... every polynomial using linear factors like , which are linear, or, irreducible quadratics, like that don’t have any real ...from irreducible quadratics can be done using the __________ ...
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Novel Pipelined Scalable Systolic Multiplier Based on Irreducible All One Polynomials
... to polynomial multipliers, normal baseline multipliers, and dual baseline multipliers, depending on the base ...and polynomial foundation, Two forms of bit parallel multipliers are exhibited such as HWBM ...
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Improving the Polynomial time Precomputation of Frobenius Representation Discrete Logarithm Algorithms - Simplified Setting for Small Characteristic Finite Fields
... Besides, the probability to recover the logarithm of an irreducible degree 4 polynomial from the first group of the form (9) is heuristically 1/2. Consider- ing that the probabilities are independent, with ...
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Finding the Galois Group of a polynomial: a demonstration of Stauduhar’s Method
... A BSTRACT . The purpose of this paper is to demonstrate an algorithm to find the Galois group of any monic irreducible polynomial over the field of the rationals with integer coefficients. This algorithm ...
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AREA EFFICIENT SYSTOLIC ARCHITECTURE FOR ALL ONE POLYNOMIAL MULTIPLIER
... in polynomial basis offer higher scalability and does not require a basis ...for polynomial-based multiplication is therefore important for real-time ...applications[3]-[5]. All-one ...
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All for One, and One for All: The Clonality of the Intestinal Stem Cell Niche
... The divisions of mammalian ISCs are likely to be similar to those in Drosophila, albeit producing a transit- amplifying progenitor rather than an undividing Eb. Human ISCs have also been shown to undergo mono- clonal ...
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Recent progress on the elliptic curve discrete logarithm problem
... ideas one wishes to find large groups that act on the summation ...summation polynomial in terms of invariant variables (previously the 8-th summation polynomial would have been ...a ...
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MSSM scenarios with a light CP-odd Higgs boson
... level. All coupled channels for all particles should be considered, so the full tree- level analysis can be rather ...gauge one can consider an amplitude for the scalar field theory instead of an ...
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Utility of irreducible group representations in differential equations
... Abstract- Group representations play a central role in the classification of problems with group symmetries. In this paper we deal with the algebraic setup that provides this classification. In particular we relate the ...
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ALEXANDER I N V A R I A N T S O F H Y P E R S U R FA C E COM P L E M E N T S
... From the very beginning, algebraic topology has developed under the influence of questions arising from the attempt to understand the topological properties of sin- gular spaces (in contrast to a manifold, a singular ...
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