scholarly journals Constructions of Coded Caching Schemes With Flexible Memory Size

2019 ◽  
Vol 67 (6) ◽  
pp. 4166-4176 ◽  
Author(s):  
Minquan Cheng ◽  
Jing Jiang ◽  
Qifa Yan ◽  
Xiaohu Tang
Keyword(s):  
Entropy ◽  
2020 ◽  
Vol 22 (7) ◽  
pp. 766
Author(s):  
Nujoom Sageer Karat ◽  
Anoop Thomas ◽  
Balaji Sundar Rajan

For coded caching problems with small buffer sizes and the number of users no less than the amount of files in the server, an optimal delivery scheme was proposed by Chen, Fan, and Letaief in 2016. This scheme is referred to as the CFL scheme. In this paper, an extension to the coded caching problem where the link between the server and the users is error prone, is considered. The closed form expressions for average rate and peak rate of error correcting delivery scheme are found for the CFL prefetching scheme using techniques from index coding. Using results from error correcting index coding, an optimal linear error correcting delivery scheme for caching problems employing the CFL prefetching is proposed. Another scheme that has lower sub-packetization requirement as compared to CFL scheme for the same cache memory size was considered by J. Gomez-Vilardebo in 2018. An optimal linear error correcting delivery scheme is also proposed for this scheme.


2020 ◽  
Vol 66 (12) ◽  
pp. 7635-7651
Author(s):  
Eleftherios Lampiris ◽  
Petros Elia
Keyword(s):  

Entropy ◽  
2020 ◽  
Vol 23 (1) ◽  
pp. 25
Author(s):  
Kai Wan ◽  
Hua Sun ◽  
Mingyue Ji ◽  
Daniela Tuninetti ◽  
Giuseppe Caire

Coded Caching, proposed by Maddah-Ali and Niesen (MAN), has the potential to reduce network traffic by pre-storing content in the users’ local memories when the network is underutilized and transmitting coded multicast messages that simultaneously benefit many users at once during peak-hour times. This paper considers the linear function retrieval version of the original coded caching setting, where users are interested in retrieving a number of linear combinations of the data points stored at the server, as opposed to a single file. This extends the scope of the authors’ past work that only considered the class of linear functions that operate element-wise over the files. On observing that the existing cache-aided scalar linear function retrieval scheme does not work in the proposed setting, this paper designs a novel coded caching scheme that outperforms uncoded caching schemes that either use unicast transmissions or let each user recover all files in the library.


2020 ◽  
Vol 68 (5) ◽  
pp. 2748-2762
Author(s):  
Abdelrahman M. Ibrahim ◽  
Ahmed A. Zewail ◽  
Aylin Yener

Author(s):  
A. Barkalov ◽  
M. Kolopienczyk ◽  
L. Titarenko
Keyword(s):  

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