Array Codes for Functional PIR and Batch Codes

01/29/2020
by   Mohammad Nassar, et al.
0

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.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset