On strongly walk regular graphs,triple sum sets and their codes

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005925
URN to cite this document: urn:nbn:de:bvb:703-epub-5925-0

Title data

Kiermaier, Michael ; Kurz, Sascha ; Solé, Patrick ; Stoll, Michael ; Wassermann, Alfred:
On strongly walk regular graphs,triple sum sets and their codes.
Bayreuth , 2021 . - 42 S.

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Abstract

Strongly walk-regular graphs (SWRGs) can be constructed as coset graphs of the duals of projective three-weight codes whose weights satisfy a certain equation. We provide classifications of the feasible parameters of these codes in the binary and ternary case for medium size code lengths. For the binary case, the divisibility of the weights of these codes is investigated and several general results are shown.

Further data

Item Type:	Preprint, postprint
Keywords:	strongly walk-regular graphs; triple sum sets; three-weight codes; eigenvalues; plane algebraic curve
Subject classification:	Mathematics Subject Classification Code: 05E30 (11D41 94B05)
DDC Subjects:	500 Science > 510 Mathematics
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science 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 Mathematics II (Computer Algebra) > Chair Mathematics II (Computer Algebra) - Univ.-Prof. Dr. Michael Stoll Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics and Didactics Faculties
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-5925-0
Date Deposited:	17 Dec 2021 06:51
Last Modified:	17 Dec 2021 06:54
URI:	https://epub.uni-bayreuth.de/id/eprint/5925

Available Versions of this Item

On strongly walk regular graphs,triple sum sets and their codes. (deposited 11 Dec 2020 08:47)
- On strongly walk regular graphs,triple sum sets and their codes. (deposited 17 Dec 2021 06:51) [Currently Displayed]
  - On strongly walk regular graphs,triple sum sets and their codes. (deposited 11 Oct 2022 06:12)
    - On strongly walk regular graphs,triple sum sets and their codes. (deposited 17 Aug 2023 07:29)