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Euclid's Algorithm in Cyclotomic Fields
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Secure and Efficient Lattice-Based Ring Signcryption Scheme for BCCL. [PDF]
Zhang Y, Duan P, Li C, Ahmad H, Zhang H.
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Diophantine equations in cyclotomic fields.
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Threshold-adaptive pruning with multi-key homomorphic encryption for communication-efficient secure federated learning. [PDF]
Guo J, Liu R, Xing J.
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Summation-based Private Segmented Membership Test from Threshold-Fully Homomorphic Encryption. [PDF]
Koirala N +3 more
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End-to-End Privacy-Aware Federated Learning for Wearable Health Devices via Encrypted Aggregation in Programmable Networks. [PDF]
Khan H +3 more
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Cyclotomic fields with unique factorization
Masley, J.Myron, Montgomery, Hough L.
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MONOGENEITY IN CYCLOTOMIC FIELDS
International Journal of Number Theory, 2010A number field is said to be monogenic if its ring of integers is a simple ring extension ℤ[α] of ℤ. It is a classical and usually difficult problem to determine whether a given number field is monogenic and, if it is, to find all numbers α that generate a power integral basis {1, α, α2, …, αk} for the ring.
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