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Three-weight codes over rings and strongly walk regular graphs

Title data

Kiermaier, Michael ; Kurz, Sascha ; Shi, Minjia ; Solé, Patrick:
Three-weight codes over rings and strongly walk regular graphs.
Bayreuth , 2019 . - 28 p.

Official URL: Volltext

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