An online session of the Algebra and Logic Seminar will be held on July 1, 2022 (Friday) at 1:00 pm (UTC+3).
A talk on:
On the parity of the coefficients of minimal polynomial of Kloosterman sums over Fp
will be delivered by Lyubomir Borisov.
Abstract. Kloosterman sums over finite fields play an important role in “Algebraic Coding Theory” and “Cryptography”. E.g., they are related to some families of algebraic codes (Melas, Kloosterman) and (hyper-)bent functions. Particularly, the divisibility properties of some quantities connected with the Kloosterman sums, e.g., of minimal polynomial coefficients and power moments, were also investigated (see, e.g., [1]; [2]).
In this talk I shall present some results about the divisibility by 2 of the coefficients of minimal polynomials of the Kloosterman sums.
[1] M. Moisio, “On certain values of Kloosterman sums”, IEEE IT, vol. 55.8 (2009), 3563-3564.
[2] Choi H. T., R. Evans, “Congruences for Sums of Powers of Kloosterman Sums”, International Journal of Number Theory, vol. 3(1): 105-117, 2007.
Join Zoom meeting:
https://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09
Topic: Онлайн семинар на секция “Алгебра и логика”
Time: July 1, 2022 01:00 PM Sofia
Meeting ID: 851 3737 5021
Passcode: 035647
Algebra and Logic Department, IMI-BAS
http://www.math.bas.bg/algebra/seminarAiL/
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