We construct and discuss infinite 0 - 1 -sequences which contain \(2 n\) different subwords of length \(n\), for every \(n . \quad\) ' 1994 Academic Press, Inc.
On subword complexity functions
โ Scribed by Anni Sajo
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 202 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let f : Z โ {0; 1} be a given function. In 1938, Morse and Hedlund observed that if the number of distinct vectors (f(x + 1); : : : ; f(x + n)), x โ Z, called complexity, is at most n for some positive integer n, then f is periodic with period at most n. This result is best possible. Functions with
Let H (x) be a monic polynomial over a finite field F = GF(q). Denote by N a (n) the number of coefficients in H n which are equal to an element a โ F, and by G the set of elements a โ F ร such that N a (n) > 0 for some n. We study the relationship between the numbers (N a (n)) aโG and the patterns