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arXiv · 1809.06648

Local Reconstruction Codes: A Class of MDS-PIR Capacity-Achieving Codes

Siddhartha Kumar·Hsuan-Yin Lin·Eirik Rosnes·Alexandre Graell i Amat
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Abstract

We prove that a class of distance-optimal local reconstruction codes (LRCs), an important family of repair-efficient codes for distributed storage systems, achieve the maximum distance separable private information retrieval capacity for the case of noncolluding nodes. This particular class of codes includes Pyramid codes and other LRCs proposed in the literature.

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Siddhartha Kumar, Hsuan-Yin Lin, Eirik Rosnes, Alexandre Graell i Amat. 2018-09-18. Local Reconstruction Codes: A Class of MDS-PIR Capacity-Achieving Codes. https://arxiv.org/abs/1809.06648

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