4 papers
Support Constrained Generator Matrices of Gabidulin Codes in Characteristic Zero
Hikmet Yildiz, Netanel Raviv, Babak Hassibi
Gabidulin codes over fields of characteristic zero were recently constructed by Augot et al., whenever the Galois group of the underlying field extension is cyclic. In parallel, th…
Gabidulin Codes with Support Constrained Generator Matrices
Hikmet Yildiz, Babak Hassibi
Gabidulin codes are the first general construction of linear codes that are maximum rank distant (MRD). They have found applications in linear network coding, for example, when the…
Optimum Linear Codes with Support Constraints over Small Fields
Hikmet Yildiz, Babak Hassibi
We consider the problem of designing optimal linear codes (in terms of having the largest minimum distance) subject to a support constraint on the generator matrix. We show that th…
Further Progress on the GM-MDS Conjecture for Reed-Solomon Codes
Hikmet Yildiz, Babak Hassibi
Designing good error correcting codes whose generator matrix has a support constraint, i.e., one for which only certain entries of the generator matrix are allowed to be non-zero,…