Publications [#235763] of Robert Calderbank

Journal articles or Book chapters PUBLISHED
  1. 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- [doi] .

    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.