## USNA Pure Mathematics Seminar

The talks for the academic year 2001-2002
are held Wednesday in ** Chauvenet 201 at 3:45 pm ** unless
otherwise stated.
# Noon

**Speaker**:
# Gene Berg

##
NSA

** Title:**

#
An Application of Finite Fields to Error-Correcting Codes

**Abstract**:
First, we will introduce block codes with a binary Hamming code.
Second, after a quick review of GF(16), we will build a 2-error correcting
Reed-Solomon code with block length fifteen (fifteen 4-bit symbols for a
total of 60 bits), and eleven information symbols (44 bits) per codeword.
We will illustrate the decoding algorithm. Third, we will discuss turbo
codes with any remaining time.

**Time**: Noon, Wednesday Dec 5, 2001

**Biography**: After receiving his BA in mathematics from Augsburg College,
and with the encouragement of his hometown community, Gene Berg served as a
forward observer and as a 105 mm. howitzer battery executive officer in
Vietnam. After his discharge and with the support of the GI Bill, he
received his PhD in mathematics from Colorado State University in 1975. He
taught mathematics one year at Virginia Commonwealth University. Since
1976 he has been a mathematician at the National Security Agency,
specializing in comunications-related mathematics.

Reception in the common room on the 3rd floor of Chauvenet
Hall before the talk.