Nonlinear recurrences and arithmetic codes
โ Scribed by Johannes Mykkeltveit
- Book ID
- 114037251
- Publisher
- Elsevier Science
- Year
- 1977
- Weight
- 699 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0019-9958
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A cyclic arithmetic code is a subgroup of \(\mathbf{Z} /\left(r^{n}-1\right) \mathbf{Z}\), where the weight of a word \(x\) is the minimal number of nonzero coefficients in the representation \(x \equiv \sum_{i=0}^{n-1} c_{i} r^{i}\) with \(\left|c_{i}\right|<r\) for all \(i\). A code is called equi
The problem of finding the covering radius and minimum distance of algebraic and arithmetic codes is shown to be related to Waring's problem i n a finite field and to the theory of cyclotomic numbers. The methods devel oped l ead to new results for the covering radius of certain f-errorcorrecting BC