(1) Department of mathematics, National University of Singapore, Singapore, 117543, Republic of Singapore;(2) CNRS-I3S, ESSI, Route des Colles, 06 903 Sophia Antipolis, France
Abstract:
Low correlation p-ary sequences with p an odd prime are constructed. They are obtained as Gray images of codewords of a subcode of the generalized Kerdock codes over the ring p2. They can be shown to be nonlinear in some precise sense.The research of this author is partially supported by NUS-ARF research grant R-146-000-029-112 and DSTA research grant R-394-000-011-422.This research was done while this author was visiting Temasek Laboratories and Department of Mathematics, NUS. The author thanks them for their hospitality.Keywords:Galois rings, Gray map, Kerdock code, CDMA.
p2. They can be shown to be nonlinear in some precise sense.The research of this author is partially supported by NUS-ARF research grant R-146-000-029-112 and DSTA research grant R-394-000-011-422.This research was done while this author was visiting Temasek Laboratories and Department of Mathematics, NUS. The author thanks them for their hospitality.Keywords:
Galois rings, Gray map, Kerdock code, CDMA.