$s$-PD-sets for codes from projective planes $\mathrm{PG}(2,2^h)$, $5 \leq h\leq 9$

Not scheduled
20m
Rogla, Slovenia

Rogla, Slovenia

Hotel Planja, Rogla 1, 3214 Zreče, Slovenia
Oral presentation

Speaker

Nina Mostarac (Department of Mathematics, University of Rijeka)

Description

In this talk we will describe a construction of $2$-PD-sets of $16$ elements for codes from the Desarguesian projective planes $\mathrm{PG}(2,q)$, where $q=2^h$ and $5\leq h \leq 9$. We will also describe a construction of $3$-PD-sets of $75$ elements for the code from the Desarguesian projective plane $\mathrm{PG}(2,q)$, where $q=2^9$. These $2$-PD-sets and $3$-PD-sets can be used for partial permutation decoding of codes obtained from the Desarguesian projective planes.

Primary authors

Nina Mostarac (Department of Mathematics, University of Rijeka) Dean Crnković Bernardo Rodrigues Leo Storme

Presentation Materials