Referenced Items are not available for this document.
In 2006, Helleseth and Kholosha conjectured and partially proved the existence of a class of ternary weakly regular monomial bent functions and also the expression for the dual bent function up to the sign value. The bentness was finally proved later in 2009 using a complicated technique that employs Stickelberger's theorem. Extensively using the previously found results and approaches, in this paper, a surprisingly short proof for the conjectured expression of the dual is given but without resolving the sign ambiguity. Furthermore, we resolve the sign by finding the trace representation of the dual function.
Published in:
Information Theory, IEEE Transactions on
(Volume:58
,
Issue:
4
)
Date of Publication: April 2012
- Page(s):
- 2237 - 2243
- ISSN :
- 0018-9448
- INSPEC Accession Number:
- 12592374
- Digital Object Identifier :
- 10.1109/TIT.2011.2176312
- Product Type:
- Journals & Magazines
- Date of Publication :
- 16 November 2011
- Date of Current Version :
- 15 March 2012
- Issue Date :
- April 2012
- Sponsored by :
- IEEE Information Theory Society
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