The results on the existence of capacity achieving linear codes in the literature are limited to the random binary codes with equal probability generating matrix elements and sparse parity-check ...

Abstract: The Rosenbloom-Tsfasman metric (RT-metric for short) is a generalization of the Hamming metric. Matrix codes in the frame of the RT-metric have been used in information transmission over ...

Linear codes have long been central to the development of error‐correcting methods in communication and data storage, while matroid theory provides a unifying combinatorial framework for ...

Linear Codes and Matroid Theory Publication Trend The graph below shows the total number of publications each year in Linear Codes and Matroid Theory.

LcgUtil library generates random numbers between 0 and m-1 using Linear Congruential Generator(LCG) , where the generated numbers follow a specific sequence which will start to repeat the values once ...

Let [ Mn (C) ] denote the set of linear maps from the n × n complex matrices into themselves and let $\hat\Omega_n$ denote the set of complex doubly stochastic matrices, i.e. complex matrices whose ...