On commutativity of duality operator and propagation operator of linear codes generated from algebraic curves
نویسندگان
چکیده
Based on the construction of linear codes recently proposed by Niederriter and Xing, a corresponding generator matrix is derived. The duality operator and the propagation operator of these extended linear codes are studied. A sufficient and necessary condition under which these two operators are commutative is obtained. This commutative property is found useful for constructing the corresponding parity-check matrix and, thus, the error detection/recovery codes.
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ورودعنوان ژورنال:
- IEEE Trans. Information Theory
دوره 49 شماره
صفحات -
تاریخ انتشار 2003