## Title data

Kiermaier, Michael ; Kurz, Sascha ; Shi, Minjia ; Solé, Patrick:

**Three-weight codes over rings and strongly walk regular graphs.**

Bayreuth
,
2019
. - 28 p.

## Abstract in another language

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) |

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 |

Result of work at the UBT: | Yes |

DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |

Date Deposited: | 14 Dec 2019 22:00 |

Last Modified: | 16 Dec 2019 20:48 |

URI: | https://eref.uni-bayreuth.de/id/eprint/53613 |