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Elementary 2-group character codes

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3 Author(s)
Cunsheng Ding ; Dept. of Comput. Sci., Nat. Univ. of Singapore, Singapore ; Kohel, D. ; San Ling

We describe a class of codes over GF(q), where q is a power of an odd prime. These codes are analogs of the binary Reed-Muller codes and share several features in common with them. We determine the minimum weight and properties of these codes. For a subclass of codes we find the weight distribution and prove that the minimum nonzero weight codewords give 1-designs

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Information Theory, IEEE Transactions on  (Volume:46 ,  Issue: 1 )