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Hyperplane sections of Grassmannians and the number of MDS linear codes

DSpace at IIT Bombay

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Field Value
 
Title Hyperplane sections of Grassmannians and the number of MDS linear codes
 
Creator GHORPADE, SR
 
Subject schubert varieties
normality
formula
weights
segre
grassmannians
mds codes
hyperplane sections
uniform matroids
arcs in projective spaces
 
Description We obtain some effective lower and upper bounds for the number of (n, k)-MDS linear codes over F-q. As a consequence, one obtains an asymptotic formula for this number. These results also apply for the number of inequivalent representations over F-q of the uniform matroid or, alternatively, the number of F-q-rational points of certain open strata of Grassmannians. The techniques used in the determination of bounds for the number of MDS codes are applied to deduce several geometric properties of certain sections of Grassmannians by coordinate hyperplanes.
 
Publisher ACADEMIC PRESS INC
 
Date 2011-07-12T12:30:41Z
2011-12-26T12:48:53Z
2011-12-27T05:34:22Z
2011-07-12T12:30:41Z
2011-12-26T12:48:53Z
2011-12-27T05:34:22Z
2001
 
Type Article
 
Identifier FINITE FIELDS AND THEIR APPLICATIONS, 7(4), 468-506
1071-5797
http://dx.doi.org/10.1006/ffta.2000.0299
http://dspace.library.iitb.ac.in/xmlui/handle/10054/3326
http://hdl.handle.net/10054/3326
 
Language en