Canonical- systematic form for codes in hierarchical poset metrics

Author:

Viana Felix Luciano, ,Firer Marcelo,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory,Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory

Reference10 articles.

1. Error-block codes and poset metrics,;M. M. S. Alves;Adv. Math. Commun.,2008

2. Classification of Niederreiter-Rosenbloom-Tsfasman block codes,;M. M. S. Alves;IEEE Trans. Inform. Theory,2010

3. Codes with a poset metric,;R. Brualdi;Discrete Math.,1995

4. Ramanujan's work on partitions and Asymptotic theory of partitions,;G. H. Hardy;Chs. 6 and 8 in,1999

5. A classification of posets admitting the MacWilliams identity,;H. K. Kim;IEEE Trans. Inform. Theory,2005

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1. OPTIMAL BINARY HIERARCHICAL POSET CODE HAVING HULL DIMENSION ONE;Advances and Applications in Discrete Mathematics;2024-03-21

2. Constructions of Codes with Weighted Poset Block Metrics;Order;2024-03-14

3. MacWilliams Extension Property With Respect to Weighted Poset Metric;IEEE Transactions on Information Theory;2024-02

4. On covering problems in hierarchical poset spaces;Advances in Mathematics of Communications;2023

5. MDS and I-Perfect Codes in Pomset Metric;IEEE Transactions on Information Theory;2021-03

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