Improved bounds on Weil sums over Galois rings and homogeneous weights

Date

2006-01-01

Author

Ling, San
Özbudak, Ferruh

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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.

Subject Keywords

Exponential-sums, Covering radius, Codes

URI

https://hdl.handle.net/11511/55702

Journal

CODING AND CRYPTOGRAPHY

DOI

https://doi.org/10.1007/11779360_32

Collections

Department of Mathematics, Article

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Citation Formats

S. Ling and F. Özbudak, “Improved bounds on Weil sums over Galois rings and homogeneous weights,” CODING AND CRYPTOGRAPHY, pp. 412–426, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55702.