Results 131 to 140 of about 330 (178)
NFBC: an efficient FPGA based NFSR-oriented lightweight block cipher suitable for embedded system. [PDF]
Sci RepChatterjee R, Chakraborty R.
europepmc +1 more source
Quantum resilient security framework for privacy preserving AI in Apple MM1 on device architecture. [PDF]
Sci RepUmer N +4 more
europepmc +1 more source
Galois theory for uni-serial rings.
Journal of the Mathematical Society of Japan, 1949 openaire +3 more sources
Scalable privacy-preserving data analytics for IoMT via FHE and zk-SNARK-enabled edge aggregation. [PDF]
Sci RepBen Othman S, Mihret N.
europepmc +1 more source
Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation. [PDF]
Transform GroupsHuang H +5 more
europepmc +1 more source
On Galois and locally Galois extensions of simple rings
On Galois and locally Galois extensions of simple ringsopenaire
Normal Bases on Galois Ring Extensions [PDF]
Symmetry, 2018 In this paper we study the normal bases for Galois ring extension ${{R}} / {Z}_{p^r}$ where ${R}$ = ${GR}$(pr, n). We present a criterion on normal basis for ${{R}} / {Z}_{p^r}$ and reduce this problem to one of finite field extension $\overline{R} / \overline{Z}_{p^r}=F_{q} / F_{p} (q=p^n)$ by Theorem 1. We determine all optimal normal bases
Keqin Feng, Feng Keqin
exaly +3 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Multiplication in a Galois ring
2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA), 2015In this paper, we focus on the efficient multiplication in a Galois ring of the size 4n, where n is a positive integer. We consider to adapt the finite field multiplication methods to the Galois ring multiplication. We give the polynomial multiplication in the Galois ring as a Toeplitz matrix-vector multiplication design with a modification used in ...
Ferruh Ozbudak
exaly +3 more sources
Galois-Azumaya extensions and the Brauer-Galois group of a commutative ring
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2006 We attach to any commutative ring R a subgroup of the Brauer group of R, called the Brauer-Galois group of R. Its elements are the classes of the Azumaya R-algebras which can be represented, via Brauer equivalence, by a Galois extension of R. We compute this group for some particular commutative fields.
exaly +6 more sources
The Annals of Mathematics, 1996
This paper is concerned with the connections between the Witt ring of a field and the structure of certain Galois extensions of that field. In particular, it is shown that the Witt ring determines, and is determined by, the Galois group of a certain 2-extension of the field (with an unavoidable uncertainty over the characteristic of the Witt ring in ...
Mináč, Ján, Spira, Michel
openaire +1 more source
This paper is concerned with the connections between the Witt ring of a field and the structure of certain Galois extensions of that field. In particular, it is shown that the Witt ring determines, and is determined by, the Galois group of a certain 2-extension of the field (with an unavoidable uncertainty over the characteristic of the Witt ring in ...
Mináč, Ján, Spira, Michel
openaire +1 more source