Event Details
Construction of Systematic Binary Self-Complementary Codes
Presenter: Jonaki Medda
Supervisor:
Date: Thu, April 7, 2022
Time: 11:00:00 - 00:00:00
Place: ZOOM - Please see below.
ABSTRACT
Zoom link: https://uvic.zoom.us/j/84131139642?pwd=UDFyMDNYUVFHVTlLRjZEYk1zcCtGUT09
Meeting ID: 841 3113 9642
Password: 620947
Note: Please log in to Zoom via SSO and your UVic Netlink ID.
Abstract:
Efficient transmission of data through channels is of utmost importance in modern digital communication systems. In order to reduce errors due to impairments such as noise in the channel, error control coding is used for reliable transmission of data. This work is focused on a class of linear block codes called binary self-complementary codes which contain the all-ones codeword. The construction of binary self-complementary codes and their weight distributions are considered. The Magma Computational Algebra System is used to generate the weight distributions of the best codes in terms of the minimum Hamming distance. General expressions for the Hamming weight distributions of the best codes for small dimensions are derived and the best self-complementary codes are compared with the best possible linear codes based on the minimum Hamming distance.