On linear codes and distinct weights

April 12, 2018 · The Ethereal · 🏛 arXiv.org

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Authors Alessio Meneghetti arXiv ID 1804.04373 Category math.CO: Combinatorics Cross-listed cs.IT Citations 4 Venue arXiv.org Last Checked 6 months ago
Abstract
We provide a combinatorial construction for linear codes attaining the maximum possible number of distinct weights. We then introduce the related problem of determining the existence of linear codes with an arbitrary number of distinct non-zero weights, and we completely determine a solution in the binary case.
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