Inicio  /  Information  /  Vol: 8 Par: 3 (2017)  /  Artículo
ARTÍCULO
TITULO

Vector-Circulant Matrices and Vector-Circulant Based Additive Codes over Finite Fields

Somphong Jitman    

Resumen

Circulant matrices have attracted interest due to their rich algebraic structures and various applications. In this paper, the concept of vector-circulant matrices over finite fields is studied as a generalization of circulant matrices. The algebraic characterization for such matrices has been discussed. As applications, constructions of vector-circulant based additive codes over finite fields have been given together with some examples of optimal additive codes over ??4 F 4 .

 Artículos similares

       
 
Ravi Sekhar, Nitin Solke and Pritesh Shah    
Lean and flexible manufacturing is a matter of necessity for the automotive industries today. Rising consumer expectations, higher raw material and processing costs, and dynamic market conditions are driving the auto sector to become smarter and agile. T... ver más

 
Sergio Arciniegas-Alarcón, Marisol García-Peña and Wojtek J. Krzanowski    
Several statistical techniques for analyzing data matrices use lower rank approximations to these matrices, for which, in general, the appropriate rank must first be estimated depending on the objective of the study. The estimation can be conducted by cr... ver más

 
Wiebke Eisler, Manuel Held, Afshin Rahmanian-Schwarz, Jennifer Schiefer, Shahab Rahmanian, Adrien Daigeler and Jan-Ole Baur    
The application of exogenous growth factors such as the recombinant human growth and differentiation factor 5 (rhGDF-5) represents a major research topic with great potential for the treatment of complex wounds. In a randomized, controlled minipig study,... ver más
Revista: Applied Sciences

 
Serafeim Moustakidis, Athanasios Siouras, Konstantinos Vassis, Ioannis Misiris, Elpiniki Papageorgiou and Dimitrios Tsaopoulos    
CrossFit has gained recognition and interest among physically active populations being one of the most popular and rapidly growing exercise regimens worldwide. Due to the intense and repetitive nature of CrossFit, concerns have been raised over the poten... ver más
Revista: Algorithms

 
Justus Braach, Eric Buschmann, Dominik Dannheim, Katharina Dort, Thanushan Kugathasan, Magdalena Munker, Walter Snoeys and Mateus Vicente    
Within the ATTRACT FASTPIX project, a monolithic pixel sensor demonstrator chip has been developed in a modified 180 n" role="presentation">nn n m" role="presentation">mm m CMOS imaging process, targeting sub-nanosecond timing measurements for single io... ver más
Revista: Instruments