Seminars
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Search
RSS
Forthcoming seminars






2022-ary quasigroups and related topics
October 2, 2020 11:00–12:30, Novosibirsk, Sobolev Institute of Mathematics, room 135
 


Completely regular codes from regular spreads and linear SQS in Grassmann and Johnson graphs

I. Yu. Mogil'nykh

Number of views:
This page:28

Abstract: It is known that every $(k-1)$-$(n,k,1)_q$ design $D$ and its induction is a completely regular code in the Grassmann graphs $J_q(n,k)$ and $J_q (n,k+1)$. It is shown that $D$ also induces a completely regular code in the graph $J_q(n,4)$ if $D$ is a regular spread in $J_q(n,2)$. Also, a new series of completely regular codes in the Johnson graph $J(n,6)$ is obtained from the Steiner quadruple system of the extended Hamming code. The talk will outline the basic elements of the proof and give the intersection arrays of completely regular codes of the Grassmann graph $G_2(6,3)$ of radius $1$.

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2022