๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

CHARACTER-BUILDING CONTENT OF ARITHMETIC

โœ Scribed by Jenny Lind Green

Book ID
123863430
Publisher
National Council of Teachers of Mathematics
Year
1918
Weight
430 KB
Volume
11
Category
Article
ISSN
0025-5769

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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