Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

This paper presents an approach to investigate the phenomenon of faults and cracks that
appeared in the earth's crust surface in Al-Qassim region, Saudi Arabia. Geophysical and …

Let P=([n],≤ P) be a poset on [n]={1, 2,⋯, n}, F qn be the linear space of n-tuples over a finite
field Fq and w be a weight on F q. In this paper we consider metrics on F qn which are …

In this paper, we consider metrics determined by hierarchical posets and give explicit
formulas for the main parameters of a linear code: the minimum distance and the packing …

In this work we present a canonical-systematic form of a generator matrix for linear codes
whith respect to a hierarchical poset metric on the linear space Fn q. We show that up to a …

The rank metric over finite fields has received a lot of attention these last decades. Several
works propose generalizations of this metric to finite rings, each one using a particular …

We study a new family of metrics, weighted poset block metric, which generalizes the
weighted coordinates poset metric introduced by Panek and Pinheiro (IEEE Trans Inf Theory …

In this paper, we introduce codes equipped with pomset block metric. A Singleton type
bound for pomset block codes is obtained. Code achieving the Singleton bound, called a …

We obtain the Singleton bound for poset block codes and define a maximum distance
separable poset block code (MDS (P, π)-code) as a code meeting this bound. We extend the …

We investigate the covering problem in RT spaces induced by the Rosenbloom-Tsfasman
metric, extending the classical covering problem in Hamming spaces. Some connections …