Subclose Families, Threshold Graphs, and the Weight Hierarchy of Grassmann and Schubert Codes

Abstract. We discuss the problem of determining the complete weight hierarchy of linear error correcting codes associated to Grassmann varieties and, more generally, to Schubert varieties in Grassmannians. In geometric terms, this corresponds to the determination of the maximum number of Fq-rational points on sections of Schubert varieties (with nondegenerate Pl

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Sudhir R. Ghorpade, Arunkumar R. Patil, Harish K. Pillai
• Keywords: Complete Weight Hierarchy, CORR 2008, Education, Grassmann Varieties, Linear Error