 Author
 Ilaria Cardinali and Bart De Bruyn (UGent)
 Organization
 Abstract
 Let Delta be one of the dual polar spaces DQ(8, q), DQ() (7, q), and let e : Delta > Sigma denote the spinembedding of Delta. We show that e(Delta) is a twointersection set of the projective space Sigma. Moreover, if Delta congruent to DQ() (7, q), then e(Delta) is a (q(3) + 1)tight set of a nonsingular hyperbolic quadric Q(+) (7, q(2)) of Sigma congruent to PG(7, q(2)). This (q(3) + 1)tight set gives rise to more examples of (q(3) + 1)tight sets of hyperbolic quadrics by a procedure called fieldreduction. All the above examples of twointersection sets and (q(3) + 1)tight sets give rise to twoweight codes and strongly regular graphs.
 Keywords
 dual polar space, spinembedding, twointersection set, twoweight code, strongly regular graph, tight set, DUAL POLAR SPACES, HYPERPLANES
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU4241842
 Chicago
 Cardinali, Ilaria, and Bart De Bruyn. 2013. “Spinembeddings, Twointersection Sets and Twoweight Codes.” Ars Combinatoria 109: 309–319.
 APA
 Cardinali, I., & De Bruyn, B. (2013). Spinembeddings, twointersection sets and twoweight codes. ARS COMBINATORIA, 109, 309–319.
 Vancouver
 1.Cardinali I, De Bruyn B. Spinembeddings, twointersection sets and twoweight codes. ARS COMBINATORIA. 2013;109:309–19.
 MLA
 Cardinali, Ilaria, and Bart De Bruyn. “Spinembeddings, Twointersection Sets and Twoweight Codes.” ARS COMBINATORIA 109 (2013): 309–319. Print.
@article{4241842, abstract = {Let Delta be one of the dual polar spaces DQ(8, q), DQ() (7, q), and let e : Delta {\textrangle} Sigma denote the spinembedding of Delta. We show that e(Delta) is a twointersection set of the projective space Sigma. Moreover, if Delta congruent to DQ() (7, q), then e(Delta) is a (q(3) + 1)tight set of a nonsingular hyperbolic quadric Q(+) (7, q(2)) of Sigma congruent to PG(7, q(2)). This (q(3) + 1)tight set gives rise to more examples of (q(3) + 1)tight sets of hyperbolic quadrics by a procedure called fieldreduction. All the above examples of twointersection sets and (q(3) + 1)tight sets give rise to twoweight codes and strongly regular graphs.}, author = {Cardinali, Ilaria and De Bruyn, Bart}, issn = {03817032}, journal = {ARS COMBINATORIA}, language = {eng}, pages = {309319}, title = {Spinembeddings, twointersection sets and twoweight codes}, volume = {109}, year = {2013}, }