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Tate pairing

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The Tate pairing is a mathematical operation in the realm of algebraic geometry and number theory, specifically on elliptic curves and abelian varieties. It has significant applications in cryptography, particularly in the construction of cryptographic primitives such as identity-based encryption and digital signatures. ### Definition: The Tate pairing is defined on certain types of elliptic curves over finite fields, particularly those that can be described using a Weil pairing.

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