scholarly journals On class dimension of flat association schemes in affine and affine-symplectic spaces

2016 ◽  
Vol 39 ◽  
pp. 43-51 ◽  
Author(s):  
Jun Guo ◽  
Fenggao Li ◽  
Kaishun Wang
Keyword(s):  
Association Schemes ◽  
Symplectic Spaces

scholarly journals On some recent progress in the classification of $$(P\hbox { and }Q)$$-polynomial association schemes

2019 ◽  
Author(s):  
Alexander L. Gavrilyuk ◽  
Jack H. Koolen
Keyword(s):  
Symmetric Spaces ◽  
Recent Progress ◽  
Association Schemes ◽  
Compact Symmetric Spaces ◽  
Expository Paper

AbstractThe problem of classification of $$(P\hbox { and }Q)$$(PandQ)-polynomial association schemes, as a finite analogue of E. Cartan’s classification of compact symmetric spaces, was posed in the monograph “Association schemes” by E. Bannai and T. Ito in the early 1980s. In this expository paper, we report on some recent results towards its solution.

Bounds on subspace codes based on totally isotropic subspace in symplectic spaces and extended symplectic spaces

2019 ◽  
Vol 12 (05) ◽  
pp. 1950069
Author(s):  
Mahdieh Hakimi Poroch
Keyword(s):  
Sphere Packing ◽  
Symplectic Space ◽  
Isotropic Subspace ◽  
Subspace Codes ◽  
Singleton Bound ◽  
Symplectic Spaces ◽  
Isotropic Subspaces ◽  
Totally Isotropic Subspace ◽  
Totally Isotropic Subspaces

In this paper, we propose the Sphere-packing bound, Singleton bound and Gilbert–Varshamov bound on the subspace codes [Formula: see text] based on totally isotropic subspaces in symplectic space [Formula: see text] and on the subspace codes [Formula: see text] based on totally isotropic subspace in extended symplectic space [Formula: see text].

scholarly journals An Assmus–Mattson theorem for codes over commutative association schemes

2017 ◽  
Vol 86 (5) ◽  
pp. 1039-1062 ◽  
Author(s):  
John Vincent S. Morales ◽  
Hajime Tanaka
Keyword(s):  
Association Schemes

scholarly journals Width and dual width of subsets in polynomial association schemes

2003 ◽  
Vol 102 (2) ◽  
pp. 255-271 ◽  
Author(s):  
A.E. Brouwer ◽  
C.D. Godsil ◽  
J.H. Koolen ◽  
W.J. Martin
Keyword(s):  
Association Schemes
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