An Upper Bound for Weil Exponential Sums over Galois Rings and Applications

Journal Article (Journal Article)

We present an analog of the well-known Weil-Carlitz-Uchiyama upper bound for exponential sums over finite fields for exponential sums over Galois rings. Some examples are given where the hound is tight. The bound has immediate application to the design of large families of phase-shift-keying sequences having low correlation and an alphabet of size pe, p prime, e ≥ 2. Some new constructions of eight-phase sequences are provided. © 1995 IEEE

Full Text

Duke Authors

Cited Authors

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

Published Date

  • January 1, 1995

Published In

Volume / Issue

  • 41 / 2

Start / End Page

  • 456 - 468

Electronic International Standard Serial Number (EISSN)

  • 1557-9654

International Standard Serial Number (ISSN)

  • 0018-9448

Digital Object Identifier (DOI)

  • 10.1109/18.370147

Citation Source

  • Scopus