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Fractal digital sums and codes

✍ Scribed by Peter J. Grabner; Tamás Herendi; Robert F. Tichy


Publisher
Springer
Year
1997
Tongue
English
Weight
514 KB
Volume
8
Category
Article
ISSN
0938-1279

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📜 SIMILAR VOLUMES


On character sums and codes
✍ Hannu Tarnanen 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 523 KB

Coding-theoretical methods are used to obtain improved lower bounds for character sums induced by a multiplicative character of an arbitrary order over GF(q).

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✍ D.M. Gordon 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 329 KB

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