Results 31 to 40 of about 464 (180)
Network Security Empowered Digital Teaching Data Protection Algorithm for Ceramic Technology
In this paper, a complete algorithm system covering sensitivity identification, feature fusion, encrypted transmission and cultural image protection is established based on the ceramic teaching scene enabled by network security. ABSTRACT The digitalization of ceramic technology teaching generates sensitive multi‐modal data, including personal ...
Yuting Zhu +3 more
wiley +1 more source
When using a discrete Fourier transform (DFT) to solve digital signal processing (DSP) problems, errors occur in rounding or truncating the results of operations to the word length used by specialized processors (SP).
M. I. Kalmykov +3 more
doaj +1 more source
New Zealand Geological Timescale 2025
New Zealand Geological Timescale 2025 (NZGT 2025) is the first comprehensive update and revision of the New Zealand Geological Timescale in a decade. The criteria used to establish age ranges of New Zealand Stages within the NZGT have been reviewed, calibrated, and revised where required against the 2023/04 International Chronostratigraphic Chart and ...
Christopher D. Clowes +13 more
wiley +1 more source
Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
wiley +1 more source
NONLINEAR NYBERG CONSTRUCTION TRANSFORMS OVER ISOMORPHIC REPRESENTATIONS OF FIELDS GALOIS
Further development of cryptographic algorithms based on the principles of many-valued logic requires more accurate research of non-binary cryptographic primitives – S-boxes.
A. V. Sokolov, O. N. Zhdanov
doaj +1 more source
p$p$‐adic equidistribution and an application to S$S$‐units
Abstract We prove a Galois equidistribution result for torsion points in Gmn$\mathbb {G}_m^n$ in the p$p$‐adic setting for test functions of the form log|F|p$\log |F|_p$ where F$F$ is a nonzero polynomial with coefficients in the field of complex p$p$‐adic numbers.
Gerold Schefer
wiley +1 more source
Electronic Fourier–Galois Spectrum Analyzer for the Field GF(31)
A scheme for the Fourier–Galois spectrum analyzer for the field GF(31) is proposed. It is shown that this analyzer allows for solving a wide enough range of problems related to image processing, in particular those arising in the course of experimental ...
Kaisarali Kadyrzhan +5 more
doaj +1 more source
Design space exploration of high throughput finite field multipliers for channel coding on Xilinx FPGAs [PDF]
Channel coding is a standard technique in all wireless communication systems. In addition to the typically employed methods like convolutional coding, turbo coding or low density parity check (LDPC) coding, algebraic codes are used in many cases.
C. de Schryver +3 more
doaj +1 more source
On the Euler characteristic of S$S$‐arithmetic groups
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley +1 more source
Discrete Cartesian Coordinate Transformations: Using Algebraic Extension Methods
It is shown that it is reasonable to use Galois fields, including those obtained by algebraic extensions, to describe the position of a point in a discrete Cartesian coordinate system in many cases. This approach is applicable to any problem in which the
Aruzhan Kadyrzhan +3 more
doaj +1 more source

