[Turkmath:7884] Seminar by Sankhadip Roy on 21 September

[Cem Güneri]

Degerli Meslektaslar,

Sabanci Universitesi doktora sonrasi arastirmacisi Sankhadip Roy'un 
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 kismi olarak TUBITAK tarafindan desteklenmektedir.

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Dear Colleagues,

You can find below the details of a seminar by Sankhadip Roy who is a 
post-doc researcher 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 partly supported by TUBITAK.