Description
Speaker: Dr. Tushar Bag, IIT Patna.
Time: 6:30 pm (gate opens 6:15 pm), 15 July, Wednesday.
Google Meet link: meet.google.com/aoz-gdsp-szk.
Phone: (US) +1 678-667-1924 PIN: 997 745 256#.
Title: Quantum Codes via Skew Cyclic Codes.
Abstract: In this presentation, we show a construction of quantum codes
from skew cyclic codes. Also, we discuss the advantages in the
construction of quantum codes from skew cyclic codes than from cyclic
codes over. Skew cyclic codes are equivalent to cyclic codes in the
commutative set up of linear codes. We derive a necessary and sufficient
condition for a skew cyclic code to contain its dual. Using this
dual-containing property, we show a construction of quantum codes from
them. We also present the usefulness of considering skew polynomial rings,
where we illustrate that, being non-unique factorization domains, skew
polynomial rings have numerous options for factors. As a result, we get
more options to construct codes with better parameters.