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Weights Modulo a Prime Power in Divisible Codes and a Related Bound

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1 Author(s)
Xiaoyu Liu ; Dept. of Math., California Inst. of Technol., Pasadena, CA

In this paper, we generalize the theorem given by R. M. Wilson about weights modulo pt in linear codes to a divisible code version. Using a similar idea, we give an upper bound for the dimension of a divisible code by some divisibility property of its weight enumerator modulo pe. We also prove that this bound implies Ward's bound for divisible codes. Moreover, we see that in some cases, our bound gives better results than Ward's bound

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Information Theory, IEEE Transactions on  (Volume:52 ,  Issue: 10 )