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cs.IT2025
Algorithmic Improvements to List Decoding of Folded Reed-Solomon Codes
Vikrant Ashvinkumar, Mursalin Habib, Shashank Srivastava
Folded Reed-Solomon (FRS) codes are a well-studied family of codes, known for achieving list decoding capacity. In this work, we give improved deterministic and randomized algorith…
cs.DS2025
Hardness of Median and Center in the Ulam Metric
Nick Fischer, Elazar Goldenberg, Mursalin Habib +1
The classical rank aggregation problem seeks to combine a set X of n permutations into a single representative "consensus" permutation. In this paper, we investigate two fundamenta…
cs.DM2025
Constant Rate Isometric Embeddings of Hamming Metric into Edit Metric
Sudatta Bhattacharya, Sanjana Dey, Elazar Goldenberg +4
A function is called an isometric embedding of the -dimensional Hamming metric space to the -dimensional edit metric space if, for all $x,y\in\{0,…