Perfect Codes Correcting a Single Burst of Limited-Magnitude Errors
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DOI: 10.1109/tit.2022.3213239
Abstract: Motivated by applications to DNA-storage, flash memory, and magnetic recording, we study perfect burst-correcting codes for the limited-magnitude error channel. These codes are lattices that tile the integer grid with the appropriate error ball. We… read more here.
Keywords: limited magnitude; codes correcting; perfect codes; correcting single ... See more keywords
On q-ary Propelinear Perfect Codes Based on Regular Subgroups of the General Affine Group
Sign Up to like & getrecommendations! Published in 2022 at "Problems of Information Transmission"
DOI: 10.1134/s0032946022010045
Abstract: A code is said to be propelinear if its automorphism group contains a subgroup acting on its codewords regularly. A subgroup of the group $$GA(r,q)$$ of affine transformations is said to be regular if it acts… read more here.
Keywords: perfect codes; ary propelinear; affine; propelinear perfect ... See more keywords