On the Minimum Distance Conjecture for Schubert Codes
Xu Xiang · IEEE Transactions on Information Theory · 2008
In 2000, S. R. Ghorpade and G. Lachaud presented a conjecture on the minimum distance of algebraic geometric codes associated to Schubert varieties. In this correspondence, we use the structure and properties of the exterior algebra to give an elementary proof of this conjecture, and provide a construction of codewords of minimum Hamming weight.