Hermitian-curve AG codes yield X-secure T-private PIR schemes with rate 1 minus (X+T+3q^2-q-2)/N, beating elliptic and hyperelliptic schemes for large X+T.
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AG codes from the Hermitian curve for Cross-Subspace Alignment in Private Information Retrieval
Hermitian-curve AG codes yield X-secure T-private PIR schemes with rate 1 minus (X+T+3q^2-q-2)/N, beating elliptic and hyperelliptic schemes for large X+T.