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CO Seminar – Antonina Khramova
November 1, 2024 @ 12:30 - 13:30
Location: MF 12
Speaker: Antonina Khramova (TU/e)
Title: A linear programming bound for sum-rank metric codes
Abstract:
We derive a linear programming bound on the maximum cardinality of error-correcting codes in the sum-rank metric, which is based on Delsarte’s approach previously applied to Hamming metric, bilinear forms (i.e. rank metric), Lee metric, and others. Based on computational experiments on relatively small instances, we observe that the obtained bound outperforms all previously known bounds.
The talk is based on joint work with Aida Abiad, Alexander L. Gavrilyuk, and Ilia Ponomarenko.