Günter Pilz, Po-Yi Huang, Wenfong Ke,
"The cardinality of some symmetric differences"
, in Proceedings of the American Mathematical Society, Vol. 138, Nummer 3, American mathematical Society, 2010, ISSN: 0002-9939
Original Titel:
The cardinality of some symmetric differences
Sprache des Titels:
Englisch
Original Kurzfassung:
In this paper, we prove that for positive integers k and n, the cardinality of the symmetric differences of {1,2,...,k}, {2,4,...,2k}, ... {n,2n,...kn} is at least k or n, whatever is larger. This has applications to combinatorics and to the study of linear codes.