Atul Kumar Shriwastva

collaborators

5 papers

cs.IT2025

Weight Distribution of the Weighted Coordinates Poset Block Space and Singleton Bound

Atul Kumar Shriwastva, R. S. Selvaraj

In this paper, we determine the complete weight distribution of the space $F_{q}^{N}$ endowed by the weighted coordinates poset block metric ( $(P, w, π)$ -metric), also known a…

math.CO2022

Linear isometries on Weighted Coordinates Poset Block Space

Atul Kumar Shriwastva, R. S. Selvaraj

Given $[n] = {1, 2, \dots, n}$ , a poset order $⪯$ on $[n]$ , a label map $π : [n] \to N$ defined by $π (i) = k_{i}$ with $\sum_{i = 1}^{n} π (i) = N$ , and a weight functi…

cs.IT2022

MDS and $I$ -Perfect Codes in Pomset block Metric

Atul Kumar Shriwastva, R. S. Selvaraj

In this paper, we establish the Singleton bound for pomset block codes ( $(P m, π)$ -codes) of length $N$ over the ring $Z_{m}$ . We give a necessary condition for a code to be M…

math.CO2022

Weighted Coordinates Poset Block Codes

Atul Kumar Shriwastva, R. S. Selvaraj

Given $[n] = {1, 2, \dots, n}$ , a partial order $⪯$ on $[n]$ , a label map $π : [n] \to N$ defined by $π (i) = k_{i}$ with $\sum_{i = 1}^{n} π (i) = N$ , the direct sum…

cs.IT2022

Block Codes on Pomset Metric

Atul Kumar Shriwastva, R. S. Selvaraj

Given a regular multiset $M$ on $[n] = {1, 2, \dots, n}$ , a partial order $R$ on $M$ , and a label map $π : [n] \to N$ defined by $π (i) = k_{i}$ with $\sum_{i=1}^{n}π(i)…

Weight Distribution of the Weighted Coordinates Poset Block Space and Singleton Bound

Linear isometries on Weighted Coordinates Poset Block Space

MDS and I-Perfect Codes in Pomset block Metric

Weighted Coordinates Poset Block Codes

Block Codes on Pomset Metric

MDS and $I$ -Perfect Codes in Pomset block Metric