Wed, July 15, 2020
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6:00pm [6:30pm] Dr. Tushar Bag, IIT Patna
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.