Upper bound for some exponential sums over Galois rings and applications

Journal Article

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.

Duke Authors

Cited Authors

  • Kumar, PV; Helleseth, T; Calderbank, AR

Published Date

  • December 1, 1994

Published In

  • Ieee International Symposium on Information Theory Proceedings

Citation Source

  • Scopus