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TIT
2010

Codes in permutations and error correction for rank modulation

8 years 6 months ago
Codes in permutations and error correction for rank modulation
Codes for rank modulation have been recently proposed as a means of protecting flash memory devices from errors. We study basic coding theoretic problems for such codes, representing them as subsets of the set of permutations of n elements equipped with the Kendall tau distance. We derive several lower and upper bounds on the size of codes. These bounds enable us to establish the exact scaling of the size of optimal codes for large values of n. We also show the existence of codes whose size is within a constant factor of the sphere packing bound for any fixed number of errors.
Alexander Barg, Arya Mazumdar
Added 22 May 2011
Updated 22 May 2011
Type Journal
Year 2010
Where TIT
Authors Alexander Barg, Arya Mazumdar
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