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URN to cite this document: urn:nbn:de:bvb:703-epub-4552-7
Title data
Kiermaier, Michael ; Kurz, Sascha ; Shi, Minjia ; Solé, Patrick:
Three-weight codes over rings and strongly walk regular graphs.
Bayreuth
,
2019
. - 28 S.
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Abstract
We construct strongly walk-regular graphs as coset graphs of the duals of codes with three non-zero homogeneous weights over Z<sub>p<sup>m<sup></sub>, for p a prime, and more generally over chain rings of depth m, and with a residue field of size q, a prime power. Infinite families of examples are built from Kerdock and generalized Teichmüller codes. As a byproduct, we give an alternative proof that the Kerdock code is nonlinear.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Keywords: | strongly walk-regular graphs; three-weight codes; homogeneous weight; Kerdock codes; Teichmüller codes |
| Subject classification: | Mathematics Subject Classification Code: 05E30 (94B05) |
| 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 Mathematics II (Computer Algebra) 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-4552-7 |
| Date Deposited: | 09 Dec 2019 11:53 |
| Last Modified: | 06 Oct 2025 12:47 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/4552 |
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