Kumar, PV; Helleseth, T; Calderbank, AR, *Upper bound for some exponential sums over Galois rings and applications*,
IEEE International Symposium on Information Theory - Proceedings
(1994) .
**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.*