# Technical Program

## Paper Detail

Paper Title On two-fold packings of radius-1 balls in Hamming graphs FR2.R9.1 Denis S. Krotov, Vladimir N. Potapov, Sobolev Institute of Mathematics, Russia Packings and Combinatorics Pontoise, Level 5 Friday, 12 July, 11:40 - 13:00 Friday, 12 July, 11:40 - 12:00 Click here to download the manuscript A $\lambda$-fold $r$-packing in a Hamming metric space is a code $C$ such that the radius-$r$ balls centered in $C$ cover each vertex of the space by not more than $\lambda$-times. The well-known $r$-error-correcting codes correspond to the case $\lambda=1$. We propose asymptotic bounds for $q$-ary $2$-fold $1$-packings as $q$ grows, find that the maximum size of a binary $2$-fold $1$-packing of length $9$ is $96$, and derive upper bounds for the size of a binary $\lambda$-fold $1$-packing.