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The Complete Hierarchical Locality of the Punctured Simplex Code
January 10, 2019 Β· Declared Dead Β· π Designs, Codes and Cryptography
"No code URL or promise found in abstract"
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Authors
Matthias Grezet, Camilla Hollanti
arXiv ID
1901.03149
Category
cs.IT: Information Theory
Cross-listed
math.CO
Citations
6
Venue
Designs, Codes and Cryptography
Last Checked
4 months ago
Abstract
This paper presents a new alphabet-dependent bound for codes with hierarchical locality. Then, the complete list of possible localities is derived for a class of codes obtained by deleting specific columns from a Simplex code. This list is used to show that these codes are optimal codes with hierarchical locality.
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