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On commutativity of duality operator and propagation operator of linear codes generated from algebraic curves

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3 Author(s)
Cheng, L.M. ; Dept. of Comput. Eng. & Inf. Technol., City Univ. of Hong Kong, China ; Cheng, L.M. ; Wei Sun

Based on the construction of linear codes proposed by Niederriter and Xing (see Applicable Algebra in Engineering, Communication and Computing, vol.10, p.425-32, 2000), 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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Information Theory, IEEE Transactions on  (Volume:49 ,  Issue: 1 )