On the Parameters of Codes for Data Access

Altan B. Kilic; Alberto Ravagnani; Emina Soljanin

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arXiv · 2407.01229

On the Parameters of Codes for Data Access

Altan B. Kilic·Alberto Ravagnani·Emina Soljanin

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Abstract

This paper studies two crucial problems in the context of coded distributed storage systems directly related to their performance: 1) for a fixed alphabet size, determine the minimum number of servers the system must have for its service rate region to contain a prescribed set of points; 2) for a given number of servers, determine the minimum alphabet size for which the service rate region of the system contains a prescribed set of points. The paper establishes rigorous upper and lower bounds, as well as code constructions based on techniques from coding theory, optimization, and projective geometry.

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Altan B. Kilic, Alberto Ravagnani, Emina Soljanin. 2024-07-01. On the Parameters of Codes for Data Access. https://arxiv.org/abs/2407.01229

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