Abstract
We generalize a recent improvement for the bounds of Weil sums over Galois rings of characteristic p 2 to Galois rings of any characteristic p l. Our generalization is not as strong as for the case p 2 and we indicate the reason. We give a class of homogeneous weights, including the homogeneous weight defined by Constantinescu and Heise, and we show their relations. We also give an application of our improvements on the homogeneous weights of some codewords.
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© 2006 Springer-Verlag Berlin Heidelberg
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Ling, S., Özbudak, F. (2006). Improved Bounds on Weil Sums over Galois Rings and Homogeneous Weights. In: Ytrehus, Ø. (eds) Coding and Cryptography. WCC 2005. Lecture Notes in Computer Science, vol 3969. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11779360_32
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DOI: https://doi.org/10.1007/11779360_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35481-9
Online ISBN: 978-3-540-35482-6
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