New Constructions for De Bruijn Tori¶
Hurlbert, G., & Isaak, G. (1995). New Constructions for De Bruijn Tori. Designs, Codes and Cryptography.
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Domain-specific¶
- De Bruijn Torus
- Consequently rs = k^(mn), and an error-free complete window determines one coordinate modulo the periods.
This sourceFull original author manuscript inspected. Its introduction, PDF pp. 1–2, defines the periodic k-ary array, fundamental block and exact-once window relation; Theorem 1.1 on PDF p. 2 gives a two-dimensional construction for every natural alphabet size and window dimensions with a specified period. Sections 2–3 give distinct construction mechanisms. The 4 × 4 binary, 2 × 2-window case follows by specializing the theorem's parameters.
- Consequently rs = k^(mn), and an error-free complete window determines one coordinate modulo the periods.
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