SCIENTIFIC PROGRAMS AND ACTIVITIES

April 24, 2014

July 20-23, 2010
Fields Institute-Carleton Finite Fields Workshop
Carleton University,
Herzberg Laboratories, Room HP4351

Organizers:
Daniel Panario, David Thomson, Qiang Wang,
School of Mathematics and Statistics, Carleton University

Supported by:

SPEAKERS

Stephen Cohen, University of Glasgow
Theo Garefalakis
, University of Crete
Guang Gong, University of Waterloo
Gary McGuire, Claude Shannon Institute/UniversityCollege Dublin
Gary Mullen
, Pennsylvania State University
Arne Winterhof, Austrian Academy of Sciences
Qing Xiang, University of Delaware
Joe Yucas, Southern Illinois University

OVERVIEW
The meeting is a focused workshop on specific current research areas of finite fields. The areas being discussed are: (1) pseudorandom sequences, (2) permutation polynomials and other functions over finite fields, (3) irreducible and primitive polynomials over finite fields. Each topic will have an attached 3-hour mini-course or invited talks (or both), which aim to present the state of the art as well as explain the techniques used in current research and open problems within each topic.

To supplement the mini-courses and the invited talks, we will be accepting a small number of half-hour contributed talks on current research in finite fields. Free access to rooms with blackboards and computer access will be available.

The meeting will begin on the morning of Tuesday July 20 and continue through the afternoon of Friday July 23. Registration is free and space is limited, therefore we recommend registering as early as possible.

IMPORTANT DATES
Deadline for registering: Tuesday June 30, 2010
Deadline for contributed talks: Tuesday June 1, 2010
Workshop: Tuesday July 20 - Friday July 23, 2010

SCHEDULE

Tuesday, July 20
10:00-11:00 Arne Winterhof (Austrian Academy of Sciences)
Mini-course on pseudorandom Sequences
Part I: Linear Complexity and Related Complexity Measures
11:00-11:15 Coffee break
11:15-12:15 Guang Gong (University of Waterloo)
Multi-valued Sequences with 2-Level Autocorrelation from Iterative Decimation Hadamard Transform
12:15-2:00 Lunch Break
2:00-3:00 Qing Xiang (University of Delaware)
Strongly Regular Cayley Graphs: Constructions and Problems
3:00-3:30 Coffee Break
3:30-4:00 Amir Akbary-Majdabadno (University of Lethbridge)
On permutation polynomials of prescribed shape
4:00-4:30 Jing He (Carleton University)
A Family of Binary Sequences from Interleaved Construction and
their Cryptographic Properties
4:30-5:00 Frédéric A. B. Edoukou (Nanyang Technological University)
Number of points in the intersection of two quadrics defined over
finite fields
Wednesday, July 21
10:00-11:00 Arne Winterhof (Austrian Academy of Sciences)
Mini-course on pseudorandom Sequences
Part II: Exponential Sums and Uniform Distribution
11:00-11:15 Coffee Break
11:15-12:15 Gary Mullen (Pennsylvania State University)
How are irreducible and primitive polynomials distributed over finite fields?
12:15-2:00 Lunch Break
2:00-3:00 Stephen Cohen (University of Glasgow)
Methods for primitive and normal polynomials
3:00-3:15 Coffee Break
3:15-4:15 Stephen Cohen (University of Glasgow)
Methods for primitive and normal polynomials
4:15-4:45 Georgios Tzanakis (Carleton University)
On a generalization of the Hansen-Mullen Conjecture for irreducible
polynomials with a fixed coefficient
Thursday, July 22
10:00-11:00 Arne Winterhof (Austrian Academy of Sciences)
Mini-course on pseudorandom Sequences
Part III: Measures of Pseudorandomness for Binary and Quaternary Sequences
11:00-11:15 Coffee Break
11:15-12:15 Gary McGuire (University College Dublin)
Computing Fourier Spectra
12:15-2:00 Lunch Break
2:00-3:00 Theo Garefalakis (University of Crete)
Self-reciprocal irreducible polynomials with prescribed coefficients
3:00-3:30 Coffee Break
3:30-4:00 Behzad Omidi Koma (Carleton University)
The Number of Irreducible Polynomials of Even Degree n over F2 with Four Given Coefficients
4:00-4:30 Kseniya Garaschuk (University of Victoria)
Highly nonlinear functions and exponential sums
4:30-5:00 Amir Sakzad (Amirkabir University of Technology)
Self-Inverse Interleavers for Turbo Codes
Friday, July 23
10:00-11:00 Gary Mullen (Pennsylvania State University)
Some basic results concerning permutation polynomials over finite fields
11:00-11:15 Coffee break
11:15-12:15 Joe Yucas (University of Southern Illinois Carbondale)
Dickson Polynomials over Finite Fields
12:15-12:45 John Sheekey (University College Dublin)
On the roots of a polynomial connected with Golomb Costas Arrays
End of Workshop

SPEAKER PRESENTATIONS

Amir Akbary-Majdabadno, University of Lethbridge
On permutation polynomials of prescribed shape

Stephen Cohen, University of Glasgow
Methods for primitive and normal polynomials

Frédéric Edoukou, Nanyang Technological University
Number of points in the intersection of two quadrics defined over
finite fields


Kseniya Garaschuk,
University of Victoria
Highly nonlinear functions and exponential sums

Guang Gong, University of Waterloo
Multi-valued Sequences with 2-Level Autocorrelation from Iterative Decimation Hadamard Transform

Jing He, Carleton University
A Family of Binary Sequences from Interleaved Construction and their Cryptographic Properties

Behzad Omidi Koma, Carleton University
The Number of Irreducible Polynomials of Even Degree n over F2 with Four Given Coefficients

Gary Mullen
, Pennsylvania State University
How are irreducible and primitive polynomials distributed over finite fields?
Some basic results concerning permutation polynomials over finite fields


Amir Sakzad, Amirkabir University of Technology
Self-Inverse Interleavers for Turbo Codes

John Sheekey, University College Dublin
On the roots of a polynomial connected with Golomb Costas Arrays

Georgios Tzanakis, Carleton University
On a generalization of the Hansen-Mullen Conjecture for irreducible polynomials with a fixed coefficient

Arne Winterhof, Austrian Academy of Sciences
Part I
Part II
Part III


Qing Xiang, University of Delaware
Strongly Regular Cayley Graphs: Constructions and Problems

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If you have any questions or to register, please send any inquiries to the organizers at finitefields@math.carleton.ca

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