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Math @ Duke
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Publications [#235818] of Robert Calderbank
Papers Published
- Vijay Kumar, PV; Helleseth, T; Calderbank, AR, An upper bound for some exponential sums over Galois rings and applications,
IEEE International Symposium on Information Theory Proceedings
(January, 1994),
pp. 70, IEEE [doi]
(last updated on 2026/01/16)
Abstract: An upper bound for Weil-type exponential sums over Galois rings is presented together with some examples where the bound is tight. The bound may be regarded as the Galois-ring analogue of the well-known Weil-Carlitz-Uchiyama bound for exponential sums over finite fields. An application of the bound to the design of large families of eight-phase sequences having low correlation is also given. © 1994 IEEE.
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