A geometric view of the service rates of codes problem and its application to the service rate of the first order Reed-Muller codes

Title data

Kazemi, Fatemeh ; Kurz, Sascha ; Soljanin, Emina:
A geometric view of the service rates of codes problem and its application to the service rate of the first order Reed-Muller codes.
2020
Event: IEEE International Symposium on Information Theory (ISIT) 2020 , 21.-26.06.2020 , Los Angeles, USA.
(Conference item: Conference , Speech )

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Abstract in another language

Service rate is an important, recently introduced, performance metric associated with distributed coded storage systems. Among other interpretations, it measures the number of users that can be simultaneously served by the system. We introduce a geometric approach to address this problem. One of the most significant advantages of this approach over the existing ones is that it allows one to derive bounds on the service rate of a code without explicitly knowing the list of all possible recovery sets. To illustrate the power of our geometric approach, we derive upper bounds on the service rates of the first order Reed-Muller codes and the simplex codes. Then, we show how these upper bounds can be achieved. Furthermore, utilizing the proposed geometric technique, we show that given the service rate region of a code, a lower bound on the minimum distance of the code can be obtained.

Further data

Item Type:	Conference item (Speech)
Refereed:	Yes
Additional notes:	speaker: Fatemeh Kazemi
Keywords:	distributed storage; linear codes; service rates of codes; Reef-Muller codes
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT:	Yes
DDC Subjects:	000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics
Date Deposited:	12 Oct 2020 13:14
Last Modified:	12 Oct 2020 13:14
URI:	https://eref.uni-bayreuth.de/id/eprint/58184