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.
GCSA codes with noise alignment for secure coded multi-party batch matrix multiplication.IEEE Journal on Selected Areas in Information Theory, 2(1):306–316, 2021
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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.