Constructions of 1 1/2-designs from symplectic geometry over finite fields

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)
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024 7 0 |a 10.1007/s10114-015-4716-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4716-4 
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 
856 4 0 |u https://doi.org/10.1007/s10114-015-4716-4  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4716-4  |q text/html  |z Onlinezugriff via DOI 
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