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On the vanishing ideal of an algebraic toric set and its parameterized linear codes
algebraic toric set parameterized linear codes Commutative Algebra
2011/9/16
Abstract: Let K be a finite field and let X be a subset of a projective space, over the field K, which is parameterized by monomials arising from the edges of a clutter. We show some estimates for the...
Local-Testability and Self-Correctability of q-ary Sparse Linear Codes
Local-Testability Self-Correctability q-ary Sparse Linear Codes
2011/3/3
We prove that q-ary sparse codes with small bias are self-correctable and locally testable. We generalize a result of Kaufman and Sudan [3] that proves the local testability and correctability of bina...