4 citations · 4 across the 5 of their papers we have counts for
6 papers
Optimal Anticodes, Diameter Perfect Codes, Chains and Weights
Luciano Panek, Nayene Michele Paião Panek
Let be a partial order on , be the linear space of -tuples over a finite field and be a weight on $\mathbb{F}…
Symmetry Group of Ordered Hamming Block Space
Luciano Panek, Nayene Michele Paião Panek
Let be a poset that is an union of disjoint chains of the same length and be the space of -tuples over the finite field $\mathbb{F…
Coding and Decoding Schemes for MSE and Image Transmission
Marcelo Firer, Luciano Panek, Jerry Anderson Pinheiro
In this work we explore possibilities for coding and decoding tailor-made for mean squared error evaluation of error in contexts such as image transmission. To do so, we introduce…
Codes Satisfying the Chain Condition with a Poset Weights
Luciano Panek, Marcelo Firer
In this paper we extend the concept of generalized Wei weights for poset-weight codes and show that all linear codes C satisfy the chain condition if support of C is a subposet tot…
Coding in the Presence of Semantic Value of Information: Unequal Error Protection Using Poset Decoders
Marcelo Firer, Luciano Panek, Laura Rifo
In this work we explore possibilities for coding when information worlds have different (semantic) values. We introduce a loss function that expresses the overall performance of a…
The Symmetries of the -metric
Marcelo Muniz S. Alves, Luciano Panek
Let V be an n-dimensional vector space over a finite field F_q. We consider on V the -metric recently introduced by K. Feng, L. Xu and F. J. Hickernell. In this short note we gi…