An Upper Bound for Weil Exponential Sums over Galois Rings and Applications
Publication
, Journal Article
Kumar, PV; Helleseth, T; Calderbank, AR
Published in: IEEE Transactions on Information Theory
January 1, 1995
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
Duke Scholars
Published In
IEEE Transactions on Information Theory
DOI
EISSN
1557-9654
ISSN
0018-9448
Publication Date
January 1, 1995
Volume
41
Issue
2
Start / End Page
456 / 468
Related Subject Headings
- Networking & Telecommunications
- 4613 Theory of computation
- 4006 Communications engineering
- 1005 Communications Technologies
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing
Citation
APA
Chicago
ICMJE
MLA
NLM
Kumar, P. V., Helleseth, T., & Calderbank, A. R. (1995). An Upper Bound for Weil Exponential Sums over Galois Rings and Applications. IEEE Transactions on Information Theory, 41(2), 456–468. https://doi.org/10.1109/18.370147
Kumar, P. V., T. Helleseth, and A. R. Calderbank. “An Upper Bound for Weil Exponential Sums over Galois Rings and Applications.” IEEE Transactions on Information Theory 41, no. 2 (January 1, 1995): 456–68. https://doi.org/10.1109/18.370147.
Kumar PV, Helleseth T, Calderbank AR. An Upper Bound for Weil Exponential Sums over Galois Rings and Applications. IEEE Transactions on Information Theory. 1995 Jan 1;41(2):456–68.
Kumar, P. V., et al. “An Upper Bound for Weil Exponential Sums over Galois Rings and Applications.” IEEE Transactions on Information Theory, vol. 41, no. 2, Jan. 1995, pp. 456–68. Scopus, doi:10.1109/18.370147.
Kumar PV, Helleseth T, Calderbank AR. An Upper Bound for Weil Exponential Sums over Galois Rings and Applications. IEEE Transactions on Information Theory. 1995 Jan 1;41(2):456–468.
Published In
IEEE Transactions on Information Theory
DOI
EISSN
1557-9654
ISSN
0018-9448
Publication Date
January 1, 1995
Volume
41
Issue
2
Start / End Page
456 / 468
Related Subject Headings
- Networking & Telecommunications
- 4613 Theory of computation
- 4006 Communications engineering
- 1005 Communications Technologies
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing