Abstract
The determination of bounds for A(n, d,w), the maximum possible number of binary vectors of length n, weight w, and pairwise Hamming distance no less than d, is a classic problem in coding theory. Such sets of vectors have many applications. A description is given of how the problem can be used in a first-year undergraduate computational mathematics class as a challenging alternative to more traditional problems, and thus provide motivation for programming with loops and arrays, and the investigation of computational efficiency. Some new results, obtained by a fast implementation of a lexicographic approach, are also presented.
Original language | English |
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Pages (from-to) | 115 - 124 |
Number of pages | 9 |
Journal | International Journal of Mathematical Education in Science and Technology |
Volume | 39 |
Issue number | 1 |
DOIs | |
Publication status | E-pub ahead of print - 1 Jan 2008 |
Keywords
- constant-weight codes
- mathematical education