Seminars
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Calendar
Search
Add a seminar

RSS
Forthcoming seminars




Iskovskikh Seminar
December 6, 2018 18:00, Moscow, Steklov Mathematical Institute, room 530
 


Non-split toric codes

D. I. Koshelev

Number of views:
This page:155

Abstract: I will introduce a new wide class of error-correcting codes called non-split toric codes. These codes are a natural generalization of usual (i.e., split) toric codes, where non-split (over a finite field) algebraic tori and toric varieties are taken instead of split ones. More precisely, I will construct new cyclic codes, which are non-split toric ones on the del Pezzo surface of degree 6 and Picard number 1. For this purpose I will produce many results for this surface and its anticanonical linear system. Finally, I will also compute parameters of the new codes, which prove to attain current lower bounds at least for small finite fields.
 
  Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024