Results 81 to 90 of about 8,379,944 (285)

Optimal quinary cyclic codes with minimum distance four

Tongxin xuebao, 2017
Cyclic codes are an extremely important subclass of linear codes.They are widely used in the communication systems and data storage systems because they have efficient encoding and decoding algorithm.Until now,how to construct the optimal ternary cyclic ...
Ye TIAN, Yu-qing ZHANG, Yu-pu HU
doaj  

Reversible Self-Dual Codes over Finite Field

Cauchy: Jurnal Matematika Murni dan Aplikasi
Reversible self-dual code is a linear code which combine the properties from self-dual code and reversible code. Previous research shows that reversible self-dual codes have only been developed over field of order 2 and order 4.
Ardi Nur Hidayat, Vira Hari Krisnawati, Abdul Rouf Alghofari   +2 more
doaj   +1 more source

Elements of high order in Artin-Shreier extensions of finite fields(in Ukrainian) [PDF]

Математичні Студії, 2013
We construct explicitly in any finite field of the form $F_{p^p}$ elements with multiplicative order larger than $4^p$.
R. B. Popovych
doaj  

On fundamental sets over a finite field

International Journal of Mathematics and Mathematical Sciences, 1985
A partition over finite field is defined and each equivalence class is constructed and represented by a set called the fundamental set. If a primitive element is used to construct the addition table over these fundamental sets then all additions over the
Yousef Abbas, Joseph J. Liang
doaj   +1 more source

The probability of generating a finite simple group [PDF]

, 2013
We study the probability of generating a finite simple group, together with its generalisation PG,socG(d), the conditional probability of generating an almost simple finite group G by d elements, given that these elements generate G/ socG.
Colva M. Roney-Dougal, Martyn Quick, Quick, Martyn, Nina E. Menezes, Roney-Dougal, Colva Mary, Menezes, Nina Emma   +5 more
core   +1 more source

OntOMat: Toward Ontology‐Based Product and Process Design Engineering and Optimization Solutions Fueling Circular Value Chains

Advanced Engineering Materials, EarlyView.
The OntOMat ontology establishes a structured framework for polymer matrix fiber reinforced composite materials, integrating manufacturing processes, characterization methods, and multiscale design through the VDI/VDE 3682 formalized process description standard.
Nicolas Christ, Jörg Hohe, Martin Kördel, Michael Giese, Niklas Toffert, Christian Seidel, Olaf Rehme, Patrik Schneider, Oliver Focke, Elie Abi Aoun, Claas Falldorf, Beñat Gutierrez, Alexandra Kühn, Sven Torstrick-von der Lieth, Christoph Herden, Erik Johannsen, Jan‐Uwe R. Schmidt, Felix Winkelmann, Andreas Schott, Daniel Schott   +19 more
wiley   +1 more source

On Matrix Representation of Extension Field GF(p^L) and Its Application in Vector Linear Network Coding

Entropy
For a finite field GF(pL) with prime p and L>1, one of the standard representations is L×L matrices over GF(p) so that the arithmetic of GF(pL) can be realized by the arithmetic among these matrices over GF(p). Based on the matrix representation of GF(pL)
Hanqi Tang, Heping Liu, Sheng Jin, Wenli Liu, Qifu Sun   +4 more
doaj   +1 more source

Continuous Uniform Finite Time Stabilization of Planar Controllable Systems [PDF]

, 2015
Continuous homogeneous controllers are utilized in a full state feedback setting for the uniform finite time stabilization of a perturbed double integrator in the presence of uniformly decaying piecewise continuous disturbances.
Oza, HB, Spurgeon, Sarah K., Orlov, YV, Orlov, Yury V., Oza, Harshal B., Spurgeon, SK   +5 more
core   +1 more source

Distinct Microstructural Characteristic Lengths Defining Notch Fatigue Crack Initiation and Propagation, and Defect Tolerance in Advanced Steels

Advanced Engineering Materials, EarlyView.
Schematic representation of modes of microcrack nucleation, growth and temporary arrestment at different boundaries, with the criteria for crack propagation in three scenarios: (1) large notch, (2) defect/small sharp notch, and (3) long crack. This work revisits and integrates results on the fatigue behavior of advanced bainitic steels (in particular ...
Lucia Morales‐Rivas
wiley   +1 more source

Point Compression and Coordinate Recovery for Edwards Curves over Finite Field

Annals of the West University of Timisoara: Mathematics and Computer Science, 2014
We present two computational approaches for the purpose of point compression and decompression on Edwards curves over the finite field Fp where p is an odd prime.
Justus Benjamin
doaj   +1 more source