An upper bound for some exponential sums over Galois rings and applications
Publication
, Journal Article
Vijay Kumar, PV; Helleseth, T; Calderbank, AR
Published in: IEEE International Symposium on Information Theory Proceedings
January 1, 1994
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. © 1994 IEEE.
Duke Scholars
Published In
IEEE International Symposium on Information Theory Proceedings
DOI
ISSN
2157-8095
Publication Date
January 1, 1994
Start / End Page
70
Citation
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Vijay Kumar, P. V., Helleseth, T., & Calderbank, A. R. (1994). An upper bound for some exponential sums over Galois rings and applications. IEEE International Symposium on Information Theory Proceedings, 70. https://doi.org/10.1109/ISIT.1994.394900
Vijay Kumar, P. V., T. Helleseth, and A. R. Calderbank. “An upper bound for some exponential sums over Galois rings and applications.” IEEE International Symposium on Information Theory Proceedings, January 1, 1994, 70. https://doi.org/10.1109/ISIT.1994.394900.
Vijay Kumar PV, Helleseth T, Calderbank AR. An upper bound for some exponential sums over Galois rings and applications. IEEE International Symposium on Information Theory Proceedings. 1994 Jan 1;70.
Vijay Kumar, P. V., et al. “An upper bound for some exponential sums over Galois rings and applications.” IEEE International Symposium on Information Theory Proceedings, Jan. 1994, p. 70. Scopus, doi:10.1109/ISIT.1994.394900.
Vijay Kumar PV, Helleseth T, Calderbank AR. An upper bound for some exponential sums over Galois rings and applications. IEEE International Symposium on Information Theory Proceedings. 1994 Jan 1;70.
Published In
IEEE International Symposium on Information Theory Proceedings
DOI
ISSN
2157-8095
Publication Date
January 1, 1994
Start / End Page
70