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cs.IT2022
Optimal possibly nonlinear 3-PIR codes of small size
Henk D. L. Hollmann, Urmas Luhaäär
First, we state a generalization of the minimum-distance bound for PIR codes. Then we describe a construction for linear PIR codes using packing designs and use it to construct som…
cs.IT2022
Non-standard linear recurring sequence subgroups and automorphisms of irreducible cyclic codes
Henk D. L. Hollmann
Let \(\cU\) be the multiplicative group of order~\(n\) in the splitting field \(\bbF_{q^m}\) of \(x^n-1\) over the finite field \(\bbF_q\). Any map of the form \(x\rightarrow cx^t\…