The authors propose an n-dimensional interleaving technique which spreads a cluster of errors having a quasicircular shape. Consequently simple one-dimensional random-error-correcting codes can be used to correct this kind of cluster instead of the more complex n-dimensional burst-errorcorrecting codes. Moreover let p ≥ 2 be a positive integer, whenever n = 1 mod 3, the corresponding n-dimensional interleaving technique provides a perfect code. Also, whenever n = 3p − 2 = 1 mod 3, the corresponding ndimensional interleaving technique provides neither a perfect code nor a quasiperfect code.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.