Seminár z algebraickej teórie grafov - Dominik Hollý (25.3.2022)

v piatok 25.3.2022 o 13:00 hod. v miestnosti M/X aj online formou

23. 03. 2022 15.49 hod.
Od: Martin Mačaj

Prednášajúci: Dominik Hollý

Názov: Constructing half-cyclic codes from a pair of cyclic codes

Termín: 25.3.2022, 13:00 hod., M X a MS Teams (AGT in Bratislava team, scheduled meeting)

Abstrakt:
The class of cyclic codes is frequently used in many areas of coding theory. Cyclic codes of given length n over a finite field F_q are well-classified as every code corresponds to a unique divisor of the polynomial x^n - 1 from F_q[x]. In this talk we will discuss a procedure for constructing half-cyclic codes of length 2n from pairs of cyclic codes of length n. This procedure is based on the fact that projections of half-cyclic codes into their even/odd positions form a multiset whose unique elements form a cyclic code.

Thanks to (temporary?) loosening of restrictions regarding the COVID epidemy, we intend to conduct the seminar meetings this semester `in-person'. Hence, all of you who might choose to attend in person are welcome. Those of you who are not able to attend in person or who are still uncertain about the safety of attending in person are welcome to attend via MS Teams. In either case, we hope to see as many of you as possible (either in person or virtually) at our Friday gatherings.