Location: MATH 3206
Time: 2:00 PM
Day: Tuesday
Luke Evans
Liam Fowl

Related Seminars:

The Norbert Wiener Center Seminar


Time: Tuesday, September 18, 2018, 2:00 pm @ TBA

Speaker: Costas Karanikas (Aristotle University of Thessaloniki)

Constrictions of bent functions using a family of permutations and Reed-Muller type codes

Abstract: From a pair of permutations of the first n integers we get a family of permutations on 2^n objects. This family provides new bent functions ie Boolean sequences of length 2^(2n) whose Walsh transfom get values in {2^n,- 2^n}. The left half of a bent function determines a near-bent i.e., Boolean sequences of length 2^n (n odd) with Walsh spectrum in {0,2^n,-2^n} . We relate the support of near-bents with Reed - Muller type codes and using this we construct bents of higher degree using RM type codes and bents of lower type. We also discuss several ways for constructing bent functions and modify well-known constructions as for example Dillon H class and Maiorana- McFarland method.

Fall 2018 Seminar Schedule
9/11 Dong Dong(UMD) abstract
9/18 Costas Karanikas(Aristotle University of Thessaloniki) abstract
9/25 TBA
10/02 TBA
10/09 TBA
10/16 TBA
10/23 TBA
10/30 TBA
11/06 TBA
11/13 TBA
11/20 TBA
11/27 TBA
12/04 TBA
12/11 TBA

* Denotes special date/time


Previous Years' Abstracts

University of Maryland Suite 2211, Department of Mathematics, University of Maryland, College Park, MD 20742.   Phone: (301) 405-5158,
FAX: (301) 314-0827. The Norbert Wiener Center is part of the College of Computer, Mathematical, and Natural Sciences.