ON SOME PROPERTIES OF BINARY SCHUBERT CODE AND EXTENDED BINARY SCHUBERT CODE

Abstract

Linear error correcting codes associated to higher dimensional algebraic varieties defined over finite fields have been topical interest. For example codes associated to Hermitian varieties, Grassman varieties, Schubert varieties and Flag varieties have been studied quite extensively. The codes associated to these types of varieties is the central interest. Codes associated with Schubert varieties in $G(2,4)$ over $\f_2$ have been studied in [16]. In this paper we have defined extended binary Schubert Code of the length 19, binary Schubert code of the length 18 and some properties corresponding to these codes.