The cardinality of some symmetric differences

Po Yi Huang, Wen Fong Ke, Günter F. Pilz

研究成果: Article

摘要

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}, {3, 6,. . ., 3k},. . ., {n, 2n,. . ., kn} is at least k or n, whichever is larger. This solved a problem raised by Pilz in which binary composition codes were studied.

原文English
頁(從 - 到)787-797
頁數11
期刊Proceedings of the American Mathematical Society
138
發行號3
DOIs
出版狀態Published - 2010 三月 1

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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