Geodesic
Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05) (2005).

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Before this work, at least 762 inequivalent Hadamard matrices of order 36 were known. We found 7238 Hadamard matrices of order 36 and 522 inequivalent [72,36,12] double-even self-dual codes which are obtained from all 2-(35,17,8) designs with an automorphism of order 3 and 2 fixed points and blocks. 
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     author = {Bouyukliev, Iliya and Fack, Veerle and Winne, Joost},
     title = {Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3435/}
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Bouyukliev, Iliya; Fack, Veerle; Winne, Joost. Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05) (2005). doi : 10.46298/dmtcs.3435. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3435/

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