Planar difference functions

Hall, Joanne L., Rao, Asha and Donovan, Diane (2012). Planar difference functions. In: 2012 IEEE International Symposium on Information Theory Proceedings (ISIT 2012). ISIT 2012: IEEE International Symposium on Information Theory, Cambridge, MA, USA, (1082-1086). 1-6 July, 2012. doi:10.1109/ISIT.2012.6283019


Author Hall, Joanne L.
Rao, Asha
Donovan, Diane
Title of paper Planar difference functions
Conference name ISIT 2012: IEEE International Symposium on Information Theory
Conference location Cambridge, MA, USA
Conference dates 1-6 July, 2012
Proceedings title 2012 IEEE International Symposium on Information Theory Proceedings (ISIT 2012)
Series Proceedings of the IEEE International Symposium on Information Theory
Place of Publication Piscataway, NJ, United States
Publisher Institute of Electrical and Electronics Engineers
Publication Year 2012
Sub-type Fully published paper
DOI 10.1109/ISIT.2012.6283019
ISBN 9781467325806
9781467325790
9781467325783
Start page 1082
End page 1086
Total pages 5
Language eng
Formatted Abstract/Summary
In 1980 Alltop produced a family of cubic phase sequences that nearly meet the Welch bound for maximum non-peak correlation magnitude. This family of sequences were shown by Wooters and Fields to be useful for quantum state tomography. Alltop's construction used a function that is not planar, but whose difference function is planar. In this paper we show that Alltop type functions cannot exist in fields of characteristic 3 and that for a known class of planar functions, 3 is the only Alltop type function.
Subjects 2604 Applied Mathematics
2611 Modelling and Simulation
2614 Theoretical Computer Science
1710 Information Systems
Q-Index Code E1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Conference Paper
Collection: School of Mathematics and Physics
 
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