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URN to cite this document: urn:nbn:de:bvb:703-epub-8523-7
Title data
Kurz, Sascha:
Linear codes for b-symbol read channels attaining the Griesmer bound.
Bayreuth
,
2025
. - 27 S.
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Abstract
Reading channels where $b$-tuples of adjacent symbols are read at every step have e.g. applications in storage. Corresponding bounds and constructions of codes for the b-symbol metric, especially the pair-symbol metric where b=2, were intensively studied in the last fifteen years. Here we determine the optimal code parameters of linear codes in the b-symbol metric assuming that the minimum distance is sufficiently large. We also determine the optimal parameters of linear binary codes in the pair-symbol metric for small dimensions.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Keywords: | pair-symbol codes; b-symbol metric; optimal linear codes; Griesmer bound |
| DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-8523-7 |
| Date Deposited: | 17 Jul 2025 07:07 |
| Last Modified: | 17 Jul 2025 07:08 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/8523 |
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