Geodesic
Factoring \((16, 6, 2)\) Hadamard difference sets
The electronic journal of combinatorics, Tome 15 (2008)
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We describe a "factoring" method which constructs all twenty-seven Hadamard $(16,6,2)$ difference sets. The method involves identifying perfect ternary arrays of energy 4 (PTA(4)) in homomorphic images of a group $G$, studying the image of difference sets under such homomorphisms and using the preimages of the PTA(4)s to find the "factors" of difference sets in $G$. This "factoring" technique generalizes to other parameters, offering a general mechanism for creating Hadamard difference sets.
DOI : 10.37236/836
Classification : 05B10
Mots-clés : Hadamard difference set, perfect ternary arrays, PTA, factoring mezhod 
@article{10_37236_836,
     author = {Chirashree Bhattacharya and Ken W. Smith},
     title = {Factoring \((16, 6, 2)\) {Hadamard} difference sets},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/836},
     zbl = {1165.05315},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/836/}
}
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Chirashree Bhattacharya; Ken W. Smith. Factoring \((16, 6, 2)\) Hadamard difference sets. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/836

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