Planar difference functions
| Data(s) |
2012
|
|---|---|
| Resumo |
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, x^3 is the only Alltop type function. |
| Formato |
application/pdf |
| Identificador | |
| Publicador |
IEEE Information Theory Society |
| Relação |
http://eprints.qut.edu.au/58332/1/preprint_HallRaoDonovan1.pdf DOI:10.1109/ISIT.2012.6283019 Hall, Joanne L., Rao, Asha, & Donovan, Diane (2012) Planar difference functions. In 2012 IEEE International Symposium on Information Theory Proceedings (ISIT), IEEE Information Theory Society, Massachusetts Institute of Technology, Boston, MA, 1082 -1086. |
| Direitos |
Copyright 2012 IEEE This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after which this version may no longer be accessible |
| Fonte |
School of Mathematical Sciences; Science & Engineering Faculty |
| Palavras-Chave | #010101 Algebra and Number Theory #080401 Coding and Information Theory #polynomials #welch bound #cubic phase sequencs #quantum cryptography |
| Tipo |
Conference Paper |
