Capacity-achieving multiwrite WOM codes

Amir Shpilka

doi:10.1109/TIT.2013.2294464

Capacity-achieving multiwrite WOM codes

Amir Shpilka

Technion - Israel Institute of Technology

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we give an explicit construction of a family of capacity-achieving binary t-write WOM codes for any number of writes t, which have polynomial time encoding and decoding algorithms. The block length of our construction is N=(t/ε)^O(t/(δε)) when ε is the gap to capacity and encoding and decoding run in time N^1+δ. This is the first deterministic construction achieving these parameters. Our techniques also apply to larger alphabets.

Original language	English
Article number	6680743
Pages (from-to)	1481-1487
Number of pages	7
Journal	IEEE Transactions on Information Theory
Volume	60
Issue number	3
DOIs	https://doi.org/10.1109/TIT.2013.2294464
State	Published - Mar 2014

Keywords

Coding theory
Flash memories
Hash-functions
WOM-codes
Write-once memories

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

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10.1109/TIT.2013.2294464

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AB - In this paper, we give an explicit construction of a family of capacity-achieving binary t-write WOM codes for any number of writes t, which have polynomial time encoding and decoding algorithms. The block length of our construction is N=(t/ε)O(t/(δε)) when ε is the gap to capacity and encoding and decoding run in time N1+δ. This is the first deterministic construction achieving these parameters. Our techniques also apply to larger alphabets.

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Capacity-achieving multiwrite WOM codes

Abstract

Keywords

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