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The extended binary quadratic residue code of length 42 holds a 3-design
- Source :
- Journal of Combinatorial Designs, (2021)
- Publication Year :
- 2021
-
Abstract
- The codewords of weight $10$ of the $[42,21,10]$ extended binary quadratic residue code are shown to hold a design of parameters $3-(42,10,18).$ Its automorphism group is isomorphic to $PSL(2,41)$. Its existence can be explained neither by a transitivity argument, nor by the Assmus-Mattson theorem.<br />Comment: 6 pages. Second version
- Subjects :
- Computer Science - Information Theory
Mathematics - Combinatorics
94 B15, 62K10
Subjects
Details
- Database :
- arXiv
- Journal :
- Journal of Combinatorial Designs, (2021)
- Publication Type :
- Report
- Accession number :
- edsarx.2101.03225
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1002/jcd.21782