Seminar on Problems and Methods Related to Coding Theory
The seminar on Problems and Methods Related to Coding Theory organized by: Department of Mathematical Foundations of Informatics, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Bulgaria Novosibirsk State University, Novosibirsk, Russia Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia is inviting you to its next meeting. Assist. Prof. Ivan Mogilnykh, Novosibirsk State University, will deliver a talk on: Completely regular codes in Johnson and Grassmann graphs Abstract. Completely regular codes in Johnson and Grassmann graph are interrelated with t-designs. In this talk we give an introduction to these codes and discuss several old and recent results. Martin noted that any (k-1)-(n,k,1)-design D is a completely regular code in the Johnson graph J(n,k). Avgustinovich and Mogilnykh showed [...]