Constructions of 1 1/2-designs from symplectic geometry over finite fields
Gespeichert in:
Verfasser / Beitragende:
[Zhao Chai, Rong Feng, Li Zeng]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/9(2015-09-01), 1367-1378
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4716-4 |2 doi |
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| 245 | 0 | 0 | |a Constructions of 1 1/2-designs from symplectic geometry over finite fields |h [Elektronische Daten] |c [Zhao Chai, Rong Feng, Li Zeng] |
| 520 | 3 | |a In this paper, we construct some 1 1/2-designs, which are also known as partial geometric designs, using totally isotropic subspaces of the symplectic space and generalized symplectic graphs. Furthermore, these 1 1/2-designs yield six infinite families of directed strongly regular graphs. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a 1 1/2-design |2 nationallicence | |
| 690 | 7 | |a totally isotropic subspace |2 nationallicence | |
| 690 | 7 | |a generalized symplectic graph |2 nationallicence | |
| 690 | 7 | |a directed strongly regular graph |2 nationallicence | |
| 700 | 1 | |a Chai |D Zhao |u LMAM, School of Mathematical Sciences, Peking University, 100871, Beijing, P. R. China |4 aut | |
| 700 | 1 | |a Feng |D Rong |u LMAM, School of Mathematical Sciences, Peking University, 100871, Beijing, P. R. China |4 aut | |
| 700 | 1 | |a Zeng |D Li |u LMAM, School of Mathematical Sciences, Peking University, 100871, Beijing, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/9(2015-09-01), 1367-1378 |x 1439-8516 |q 31:9<1367 |1 2015 |2 31 |o 10114 | |
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| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chai |D Zhao |u LMAM, School of Mathematical Sciences, Peking University, 100871, Beijing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Feng |D Rong |u LMAM, School of Mathematical Sciences, Peking University, 100871, Beijing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zeng |D Li |u LMAM, School of Mathematical Sciences, Peking University, 100871, Beijing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/9(2015-09-01), 1367-1378 |x 1439-8516 |q 31:9<1367 |1 2015 |2 31 |o 10114 | ||