Math @ Duke
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Publications [#235763] of Robert Calderbank
Papers Published
- Kumar, PV; Helleseth, T; Calderbank, AR, Upper bound for some exponential sums over Galois rings and applications,
IEEE International Symposium on Information Theory - Proceedings
(December, 1994),
pp. 70-, ISSN 2157-8095 [doi]
(last updated on 2024/04/24)
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.
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