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View all- De Bruyn BGao M(2019)On four codes with automorphism group and pseudo-embeddings of the large Witt designsDesigns, Codes and Cryptography10.1007/s10623-019-00690-188:2(429-452)Online publication date: 6-Nov-2019
On the Generation of Some Embeddable GF(2) Geometries
Pages 15 - 28
Abstract
The generating rank is determined for several GF(2)-embeddable geometries and it is demonstrated that their generating and embedding ranks are equal. Specifically, we prove that each of the two generalized hexagons of order (2, 2) has generating rank 14, that the central involution geometry of the Hall-Janko sporadic group has generating rank 28, and that the dual polar space DU(6,2) has generating rank 22. We also include a survey of all instances in which either the generating or embedding rank of an embeddable GF(2) geometry is known.
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Index Terms
- On the Generation of Some Embeddable GF(2) Geometries
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Copyright © Copyright © 2001 Kluwer Academic Publishers.
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Published: 01 January 2001
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View all- De Bruyn BGao M(2019)On four codes with automorphism group and pseudo-embeddings of the large Witt designsDesigns, Codes and Cryptography10.1007/s10623-019-00690-188:2(429-452)Online publication date: 6-Nov-2019