Abstract
To construct long sequences, this paper extends the well-known result about composition of two perfect sequences over complex numbers of relatively prime lengths into the domain of real quaternions. We introduce a concept of composition of two or more sequences with elements in the real
quaternion algebra H. Using this generalization, we construct a perfect sequence of really impressive length, in order of a few billions, over a 24-element alphabet.
| Original language | English |
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| Title of host publication | Journal of Mathematics and Statistics [P] |
| Editors | H Abou-El-Aneen |
| Place of Publication | Egypt |
| Publisher | International Foundation for Modern Education and Scientific Research |
| Pages | 17 - 20 |
| Number of pages | 4 |
| Volume | 1 |
| ISBN (Print) | 1549-3644 |
| Publication status | Published - 2010 |
| Event | World Congress on Mathematics and Statistics (WCMS) - Sharm El-Shiekh Egypt, Egypt Duration: 1 Jan 2010 → … |
Conference
| Conference | World Congress on Mathematics and Statistics (WCMS) |
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| City | Egypt |
| Period | 1/01/10 → … |