[Turkmath:7888] seminar by Sankhadip Roy on 21 September
Cem Güneri
guneri at sabanciuniv.edu
20 Eyl 2011 Sal 12:04:34 EEST
Degerli Meslektaslar,
Sankhadip Roy'un Sabanci Universitesi'nde verecegi seminerle ilgili
bilgileri asagida bulabilirsiniz.
Saygilarimla,
Cem Guneri
Konusmaci: Sankhadip Roy* (Sabanci University)
Tarih ve Saat: 21 Eylul 2011, Carsamba, 10:00
Yer: Sabanci Universitesi, FENS 2008
Baslik: Generalization of some results on Gold and Kasami-Welch functions
Ozet: We use some recent results of Fitzgerald [1] on quadratic
functions with two trace terms in characteristic 2 to generalize some
results of Lahtonen, McGuire and Ward [3] on Gold and Kasami-Welch
functions. Then we get the Walsh spectrum of
Q(x)=Tr(x^{2^a+1}+x^{2^b+1}) under certain conditions introduced in [3]
and finally introduce some new results on Gold and Kasami-Welch
functions when the degree of extension is even.
[1] Fitzgerald, R., Invariants of trace forms over finite fields of
characteristic two , Finite Fields and Their Applications, 15 (2009),
261-275.
[2] Gold, R., Maximal recursive sequences with 3-valued recursive
cross-correlation functions , IEEE Trans. Inform. Theory, 14 (1968),
154-156.
[3] Lahtonen, J. McGuire, G. Ward, H.N., Gold and Kasami-Welch
functions, quadratic forms and bent functions , Advances in Mathematics
of Communications, 1, No.2 (2007), 243-250.
*Sankhadip Roy TUBITAK 107T897 nolu ISBAP projesinden desteklenmektedir.
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Dear Colleagues,
You can find below the details of a seminar by Sankhadip Roy at Sabanci
University.
Sincerely,
Cem Guneri
Speaker: Sankhadip Roy* (Sabanci University)
Date and Time: 21 September 2011, Wednesday, 10:00
Place: Sabanci University, FENS 2008
Title: Generalization of some results on Gold and Kasami-Welch functions
Abstract: We use some recent results of Fitzgerald [1] on quadratic
functions with two trace terms in characteristic 2 to generalize some
results of Lahtonen, McGuire and Ward [3] on Gold and Kasami-Welch
functions. Then we get the Walsh spectrum of
Q(x)=Tr(x^{2^a+1}+x^{2^b+1}) under certain conditions introduced in [3]
and finally introduce some new results on Gold and Kasami-Welch
functions when the degree of extension is even.
[1] Fitzgerald, R., Invariants of trace forms over finite fields of
characteristic two , Finite Fields and Their Applications, 15 (2009),
261-275.
[2] Gold, R., Maximal recursive sequences with 3-valued recursive
cross-correlation functions , IEEE Trans. Inform. Theory, 14 (1968),
154-156.
[3] Lahtonen, J. McGuire, G. Ward, H.N., Gold and Kasami-Welch
functions, quadratic forms and bent functions , Advances in Mathematics
of Communications, 1, No.2 (2007), 243-250.
*Sankhadip Roy is supported by TUBITAK ISBAP project no 107T897.
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