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Polynomial multiplication over binary finite fields: new upper bounds
Polynomial multiplication Karatsuba Two-level Seven-way Recursion algorithm
2018/1/29
When implementing a cryptographic algorithm, efficient operations have high relevance both in hardware and software. Since a number of operations can be performed via polynomial multiplication, the ar...
High-speed Polynomial Multiplication Architecture for Ring-LWE and SHE Cryptosystems
Cryptography Polynomial multiplication Number theoretic transform (NTT)
2016/1/7
Polynomial multiplication is the basic and most computationally intensive operation in ring-Learning With Errors (ring-LWE) encryption and ``Somewhat" Homomorphic Encryption (SHE) cryptosystems. In th...
Some New Results on Binary Polynomial Multiplication
Polynomial multiplication binary fields
2016/1/4
This paper presents several methods for reducing the number of bit operations for multiplication of
polynomials over the binary field. First, a modified Bernstein’s 3-way algorithm is introduced, fol...
Overlap-free Karatsuba-Ofman Polynomial Multiplication Algorithm
Karatsuba algorithm Karatsuba-Ofman algorithm polynomial multiplication
2008/5/26
We describe how a recently proposed way to split input operands allows for fast VLSI implementations of GF(2)[x] Karatsuba-Ofman multipliers. The XOR gate delay of the proposed multiplier is better th...