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- W3081429278 abstract "A functional PIR array code is a coding scheme which encodes some s information bits into a t × m array such that every linear combination of the s information bits has k mutually disjoint recovering sets. Every recovering set consists of some of the array's columns while it is allowed to read at most l encoded bits from every column in order to receive the requested linear combination of the information bits. Functional batch array codes impose a stronger property where every multiset request of k linear combinations has k mutually disjoint recovering sets. Given the values of s, k, t, l, the goal of this paper is to study the optimal value of the number of columns m such that these codes exist. Several lower bounds are presented as well as explicit constructions for several of these parameters." @default.
- W3081429278 created "2020-09-01" @default.
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- W3081429278 date "2020-06-01" @default.
- W3081429278 modified "2023-10-17" @default.
- W3081429278 title "Array Codes for Functional PIR and Batch Codes" @default.
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- W3081429278 doi "https://doi.org/10.1109/isit44484.2020.9174459" @default.
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