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Michael Griebling
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Test.
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README.md

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@@ -271,10 +271,10 @@ Some of the algorithms used in BigInt are described below.
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- Exact Division - Jebelean's exact division algorithm
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### Greatest Common Divisor and Extended Greatest Common Divisor
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[Lehmer's algorithm][KNUTH] chapter 4.5.2, with binary GCD basecase.
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Lehmer's algorithm [KNUTH] chapter 4.5.2, with binary GCD basecase.
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### Modular Exponentiation
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[Sliding window algorithm 14.85][HANDBOOK] using Barrett reduction for exponents with fewer than 2048 bits
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Sliding window algorithm 14.85 from [HANDBOOK] using Barrett reduction for exponents with fewer than 2048 bits
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and Montgomery reduction for larger exponents.
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### Inverse Modulus
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Algorithms from the following books and papers have been used in the implementation.
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There are references in the source code where appropriate.
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[BRENT]: Brent and Zimmermann: Modern Computer Arithmetic, 2010
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[BURNIKEL]: Burnikel and Ziegler: Fast Recursive Division, October 1998
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[CRANDALL]: Crandall and Pomerance: Prime Numbers - A Computational Perspective. Second Edition, Springer 2005
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[GRANLUND]: Moller and Granlund: Improved Division by Invariant Integers, 2011
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[HACKER]: Henry S. Warren, Jr.: Hacker's Delight. Second Edition, Addison-Wesley
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[HANDBOOK]: Menezes, Oorschot, Vanstone: Handbook of Applied Cryptography. CRC Press 1996
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[JEBELEAN]: Tudor Jebelean: An Algorithm for Exact Division. Journal of Symbolic Computation, volume 15, 1993
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[KNUTH]: Donald E. Knuth: Seminumerical Algorithms, Third Edition
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[KOC]: Cetin Kaya Koc: A New Algorithm for Inversion mod p^k
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1. [BRENT]: Brent and Zimmermann: Modern Computer Arithmetic, 2010
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2. [BURNIKEL]: Burnikel and Ziegler: Fast Recursive Division, October 1998
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3. [CRANDALL]: Crandall and Pomerance: Prime Numbers - A Computational Perspective. Second Edition, Springer 2005
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3. [GRANLUND]: Moller and Granlund: Improved Division by Invariant Integers, 2011
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3. [HACKER]: Henry S. Warren, Jr.: Hacker's Delight. Second Edition, Addison-Wesley
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3. [HANDBOOK]: Menezes, Oorschot, Vanstone: Handbook of Applied Cryptography. CRC Press 1996
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3. [JEBELEAN]: Tudor Jebelean: An Algorithm for Exact Division. Journal of Symbolic Computation, volume 15, 1993
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3. [KNUTH]: Donald E. Knuth: Seminumerical Algorithms, Third Edition
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3. [KOC]: Cetin Kaya Koc: A New Algorithm for Inversion mod p^k

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