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Binary Codes of Strongly Regular Graphs

✍ Scribed by Willem H. Haemers; René Peeters; Jeroen M. van Rijckevorsel


Book ID
111562678
Publisher
Springer
Year
1999
Tongue
English
Weight
115 KB
Volume
17
Category
Article
ISSN
0925-1022

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Random strongly regular graphs?
✍ Peter J. Cameron 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 289 KB

Strongly regular graphs lie on the cusp between highly structured and unstructured. For example, there is a unique strongly regular graph with parameters (36; 10; 4; 2), but there are 32548 non-isomorphic graphs with parameters (36; 15; 6; 6). (The ÿrst assertion is a special case of a theorem of Sh

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It is well known that two-weight codes result in strongly regular graphs if the code is projective. In this paper optimal (84,6,54) and (98,6,63) quasi-cyclic two-weight codes over GF(3) are presented. These codes were constructed using heuristic optimization with a local search, a technique which h