The p-ranks of residual and derived skew Hadamard designs
| dc.authorid | hacioglu, ilhan/0000-0002-1692-4502 | |
| dc.contributor.author | Hacioglu, Ilhan | |
| dc.contributor.author | Michael, T. S. | |
| dc.date.accessioned | 2025-01-27T21:13:04Z | |
| dc.date.available | 2025-01-27T21:13:04Z | |
| dc.date.issued | 2011 | |
| dc.department | Çanakkale Onsekiz Mart Üniversitesi | |
| dc.description.abstract | Let H be a Hadamard (4n - 1, 2n - 1, n - 1)-design. Suppose that the prime p divides n, but that p(2) does not divide n. A result of Klemm implies that every residual design of H has p-rank at least n. Also, every derived design of H has p-rank at least n if p not equal 2. We show that when H is a skew Hadamard design, the p-ranks of the residual and derived designs are at least n even if p(2) divides n or p = 2. We construct infinitely many examples where the p-rank is exactly n. Published by Elsevier B.V. | |
| dc.identifier.doi | 10.1016/j.disc.2011.07.009 | |
| dc.identifier.endpage | 2219 | |
| dc.identifier.issn | 0012-365X | |
| dc.identifier.issn | 1872-681X | |
| dc.identifier.issue | 20 | |
| dc.identifier.startpage | 2216 | |
| dc.identifier.uri | https://doi.org/10.1016/j.disc.2011.07.009 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12428/28265 | |
| dc.identifier.volume | 311 | |
| dc.identifier.wos | WOS:000295202100015 | |
| dc.identifier.wosquality | Q3 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.relation.ispartof | Discrete Mathematics | |
| dc.relation.publicationcategory | info:eu-repo/semantics/openAccess | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_WoS_20250125 | |
| dc.subject | Skew Hadamard design | |
| dc.subject | p-rank | |
| dc.subject | Residual design | |
| dc.subject | Derived design | |
| dc.title | The p-ranks of residual and derived skew Hadamard designs | |
| dc.type | Article |
