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Modular arithmetic / Quadratic residue / Field theory / Exponentials / Tonelli–Shanks algorithm / Exponentiation by squaring / Polynomial basis / Quadratic reciprocity / Finite field / Abstract algebra / Mathematics / Number theory


1 Square root computation over even extension fields Gora Adj 1
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Document Date: 2013-07-18 17:22:53


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Facility

Square roots / /

IndustryTerm

square roots algorithms / recursive algorithm / deterministic square root algorithm / classical square root algorithms / computing / cryptographic applications / overall algorithm / above applications / given algorithm / multiplicative / square root algorithms / /

Organization

France Computer Science Department / /

Person

Claude Bernard Lyon / Francisco Rodr / /

Position

Prime Minister / /

Technology

QUARE ROOTS IN ODD EXTENSION FIELDS The algorithms / pairing-based protocols / 3 Atkin algorithm / two square roots algorithms / second proposed algorithm / generalized Shanks algorithm / described algorithms / cryptography / DRAFT 9 Algorithm / DRAFT 10 Algorithm / CipollaLehmer algorithm / square root algorithms / proposed algorithm / overall algorithm / classical square root algorithms / recursive algorithm / reviewed algorithms / deterministic square root algorithm / Shanks algorithm / given algorithm / two algorithms / Tonelli-Shanks algorithm / /

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