The Experts below are selected from a list of 210 Experts worldwide ranked by ideXlab platform

Chin-chen Chang - One of the best experts on this subject based on the ideXlab platform.

  • A fast modular multiplication algorithm for calculating the Product Ab modulo N
    Information Processing Letters, 1999
    Co-Authors: Chien-yuan Chen, Chin-chen Chang
    Abstract:

    Abstract In this paper, we propose a fast iterative modular multiplication algorithm for calculating the Product Ab modulo N , where N is a large modulus in number-theoretic cryptosystems, such as RSA cryptosystems. Our algorithm requires ( 5 3 − 1 4 k ) n k + 5 3 4 k − 1 3 2 k − 17 6 additions on average for an n -bit modulus if k carry bits are dealt with in each loop. For a 512 -bit modulus, the known fastest modular multiplication algorithm, Chen and Liu's algorithm, requires 517 additions on average. However, compared to Chen and Liu's algorithm, our algorithm reduces the number of additions by 26 % for a 512 -bit modulus.

Chien-yuan Chen - One of the best experts on this subject based on the ideXlab platform.

  • A fast modular multiplication algorithm for calculating the Product Ab modulo N
    Information Processing Letters, 1999
    Co-Authors: Chien-yuan Chen, Chin-chen Chang
    Abstract:

    Abstract In this paper, we propose a fast iterative modular multiplication algorithm for calculating the Product Ab modulo N , where N is a large modulus in number-theoretic cryptosystems, such as RSA cryptosystems. Our algorithm requires ( 5 3 − 1 4 k ) n k + 5 3 4 k − 1 3 2 k − 17 6 additions on average for an n -bit modulus if k carry bits are dealt with in each loop. For a 512 -bit modulus, the known fastest modular multiplication algorithm, Chen and Liu's algorithm, requires 517 additions on average. However, compared to Chen and Liu's algorithm, our algorithm reduces the number of additions by 26 % for a 512 -bit modulus.

Maria Das Graças Bruno Marietto - One of the best experts on this subject based on the ideXlab platform.

  • Mappings preserving Product $Ab+ba^{*}$ on alternative $W^{*}$-factors
    arXiv: Rings and Algebras, 2020
    Co-Authors: João Carlos Da Motta Ferreira, Maria Das Graças Bruno Marietto
    Abstract:

    Let $\mathcal{A}$ and $\mathcal{B}$ be two alternative $W^{*}$-factors. In this paper, we proved that a bijective mapping $\Phi :\mathcal{A}\rightarrow \mathcal{B}$ satisfies $\Phi (Ab+ba^{*})=\Phi (a)\Phi (b)+\Phi (b)\Phi (a)^{*},$ for all elements $a,b\in \mathcal{A}$, if and only if $\Phi $ is a $\ast $-ring isomorphism.

  • mappings preserving Product Ab pm ba on alternative w factors
    arXiv: Rings and Algebras, 2020
    Co-Authors: João Carlos Da Motta Ferreira, Maria Das Graças Bruno Marietto
    Abstract:

    Let $\mathcal{A}$ and $\mathcal{B}$ be two alternative $W^{*}$-factors. In this paper, we proved that a bijective mapping $\Phi :\mathcal{A}\rightarrow \mathcal{B}$ satisfies $\Phi (Ab+ba^{*})=\Phi (a)\Phi (b)+\Phi (b)\Phi (a)^{*}$ (resp., $\Phi (Ab-ba^{*})=\Phi (a)\Phi (b)-\Phi (b)\Phi (a)^{*}$), for all elements $a,b\in \mathcal{A}$, if and only if $\Phi $ is a $\ast $-ring isomorphism.

Hermann Heineken - One of the best experts on this subject based on the ideXlab platform.

  • Fitting cores and supersolvAble groups
    Ricerche di Matematica, 2010
    Co-Authors: James C. Beidleman, Hermann Heineken
    Abstract:

    Let A be a group. What can be said About the group B to ensure that A and the normal Product Ab belong to the same prescribed class of groups? Results in this direction are given for the classes of supersolvAble groups, Absolutely solvAble groups and Lagrange groups.

  • Mutually permutAble subgroups and group classes
    Archiv der Mathematik, 2005
    Co-Authors: James C. Beidleman, Hermann Heineken
    Abstract:

    We consider the Product Ab of two finite mutually permutAble subgroups A , B and find some subnormal subgroups of the Product. This leads to local and otherwise generalized statements About Products of supersolvAble groups.

Luiz Antonio Peresi - One of the best experts on this subject based on the ideXlab platform.

  • Special identities for quasi-Jordan algebras
    Communications in Algebra, 2011
    Co-Authors: Murray R. Bremner, Luiz Antonio Peresi
    Abstract:

    Semispecial quasi-Jordan algebras (also called Jordan dialgebras) are defined by the polynomial identities These identities are satisfied by the Product Ab = a ⊣ b + b ⊢ a in an associative dialgebra. We use computer algebra to show that every identity for this Product in degree ≤7 is a consequence of the three identities in degree ≤4, but that six new identities exist in degree 8. Some but not all of these new identities are noncommutative preimages of the Glennie identity.

  • Special identities for quasi-Jordan algebras
    arXiv: Rings and Algebras, 2010
    Co-Authors: Murray R. Bremner, Luiz Antonio Peresi
    Abstract:

    Semispecial quasi-Jordan algebras (also called Jordan dialgebras) are defined by the polynomial identities $a(bc) = a(cb)$, $(ba)a^2 = (ba^2)a$, and $(b,a^2,c) = 2(b,a,c)a$. These identities are satisfied by the Product $Ab = a \dashv b + b \vdash a$ in an associative dialgebra. We use computer algebra to show that every identity for this Product in degree $\le 7$ is a consequence of the three identities in degree $\le 4$, but that six new identities exist in degree 8. Some but not all of these new identities are noncommutative preimages of the Glennie identity.