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GENERALIZATION OF THE LEE WEIGHT TO Ζpk
2012
Journal:  
TWMS Journal of Applied and Engineering Mathematics
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Abstract:

We introduce a new extension of the Lee weight to Zpk and later to Galois rings GR p k , m . The weight we define is a non-homogeneous weight and is different than the one that is generally labeled as “generalized Lee weight”. Unlike the case of generalized Lee weight, we define a distance-preserving Gray map from Zpk , extended Lee distance to F p k−1 p , Hamming distance , thus making our extension practical for coding theory purposes.

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TWMS Journal of Applied and Engineering Mathematics

Journal Type :   Ulusal

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Article : 384
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TWMS Journal of Applied and Engineering Mathematics