Session S26 - Finite fields and applications

Thursday, July 15, 11:00 ~ 11:20 UTC-3

LCD codes arising from wavelets

Horacio Tapia-Recillas

Departamento de Matem\'aticas, Universidad Aut\'onoma Metropolitana-Iztapalapa, CDMX, Mexico   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Since their introduction wavelets have provided a tool for handling several problems in science and engineering, including: audio denoising, signal compression, fingerprint compression, image recognition, etc. In this talk wavelet transforms will be defined over the finite field $\mathbb Z_p$ for some values of $p$, and LCD codes arising from these transforms are described.

Joint work with Fernanda D. de Melo Hern\'andez (Universidade Estadual de Maring\'a, PR, Brazil) and C\'esar A. Hern\'andez Melo (Universidade Estadual de Maring\'a, PR, Brazil).

View abstract PDF