2025/07/17 by Kurz, Sascha
#004 #510 #Griesmer bound #b-symbol metric #optimal linear codes #pair-symbol codes
paper · doi:10.15495/epub_ubt_00008523
Reading channels where b-tuples of adjacent symbols are read at every step have e.g. applications in storage. Corresponding bounds and constructions of codes for the b-symbol metric, especially the pair-symbol metric where b=2, were intensively studied in the last fifteen years. Here we determine the optimal code parameters of linear codes in the b-symbol metric assuming that the minimum distance is sufficiently large. We also determine the optimal parameters of linear binary codes in the pair-symbol metric for small dimensions.