Parameters of BCH codes

PhD Thesis Proposal Defence


Title: "Parameters of BCH codes"

by

Mr. Hao LIU


Abstract:

The theory of error-correcting codes is a key pillar in modern digital 
communications. By introducing redundancy into codewords, error-correcting 
codes make messages robust again noises in communication channels. In 
1948, Shannon proved that arbitrarily reliable communications are possible 
with the help of error-correcting codes. Thereafter, researchers have been 
exploring proper codes with efficient encoding and decoding algorithms.

BCH codes are a family of cyclic codes with guaranteed error-correcting 
capabilities and efficient decoding algorithms. They are employed in a 
wide range of applications from satellite communications to solid-state 
drives. However, their dimensions and minimum distances are seldom 
settled.

In this thesis, we will investigate the parameters of BCH codes. 
Dimensions of BCH codes with three different lengths will be determined, 
in a much larger range of defining sets than in previous literature. In 
some cases, we will determine the dimensions of BCH codes constructed from 
every feasible defining set within an interval; in other cases, we will 
discuss a few BCH codes with chosen defining sets. For minimum distances 
of BCH codes, we will highlight a few cases where the true minimum 
distances can be determined by innovative methods.


Date:			Monday, 15 January 2018

Time:                  	2:00pm - 4:00pm

Venue:                  Room 3494
                         (lifts 25/26)

Committee Members:	Prof. Cunsheng Ding (Supervisor)
  			Dr. Ke Yi (Chairperson)
 			Dr. Dimitris Papadopoulos
  			Dr. Maosheng Xiong (MATH)


**** ALL are Welcome ****