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In this paper, we will study the exponential sum SigmaxisinFq x(alphax(pk+1)/2+betax) that is related to the generalized Coulter-Matthews function x(pk+1)/2 with k/gcd. As applications, we obtain the following: the correlation distribution of a p-ary m-sequence and a decimated m-sequence of degree pk+1/2; the weight distribution of the cyclic code whose dual has two zeros pi-1 and pi-((pk+1)/2).
Published in:
Information Theory, IEEE Transactions on
(Volume:54
,
Issue:
12
)
Date of Publication: Dec. 2008
- Page(s):
- 5345 - 5353
- ISSN :
- 0018-9448
- INSPEC Accession Number:
- 10324573
- Digital Object Identifier :
- 10.1109/TIT.2008.2006394
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 25 November 2008
- Issue Date :
- Dec. 2008
- Sponsored by :
- IEEE Information Theory Society
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