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• W3200132012 abstract "emph{Resistive memories}, such as emph{phase change memories} and emph{resistive random access memories} have attracted significant attention in recent years due to their better scalability, speed, rewritability, and yet non-volatility. However, their emph{limited endurance} is still a major drawback that has to be improved before they can be widely adapted in large-scale systems. In this work, in order to reduce the wear out of the cells, we propose a new coding scheme, called emph{endurance-limited memories} (emph{ELM}) codes, that increases the endurance of these memories by limiting the number of cell programming operations. Namely, an emph{$ell$-change $t$-write ELM code} is a coding scheme that allows to write $t$ messages into some $n$ binary cells while guaranteeing that each cell is programmed at most $ell$ times. In case $ell=1$, these codes coincide with the well-studied emph{write-once memory} (emph{WOM}) codes. We study some models of these codes which depend upon whether the encoder knows on each write the number of times each cell was programmed, knows only the memory state, or even does not know anything. For the decoder, we consider these similar three cases. We fully characterize the capacity regions and the maximum sum-rates of three models where the encoder knows on each write the number of times each cell was programmed. In particular, it is shown that in these models the maximum sum-rate is $log sum_{i=0}^{ell} {t choose i}$. We also study and expose the capacity regions of the models where the decoder is informed with the number of times each cell was programmed. Finally we present the most practical model where the encoder read the memory before encoding new data and the decoder has no information about the previous states of the memory." @default.
• W3200132012 created "2021-09-27" @default.
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• W3200132012 date "2021-09-21" @default.
• W3200132012 modified "2023-09-27" @default.
• W3200132012 title "Endurance-Limited Memories: Capacity and Codes." @default.
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• W3200132012 hasPublicationYear "2021" @default.
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