A scalable architecture for efficient multiplication in finite fields GF (2 m ) was proposed. The proposed design had symmetric form with 64 × 64-bit inputs, supporting with any finite fields GF (2m ), where m < 320, and almost all irreducible polynomials. Due to the introduced fast unbalanced modular reduction method and Karatsuba like algorithm, fast operation was obtained. Unlike the most proposed bit-serial or digit-serial multiplier, data access of the symmetric multiplier was in accordance with the memory access pattern. And it also can be developed to meet the requirement of any GF (2 m ), where m > 320, through tiny change of control logic and register file. The analysis result showed it may improve the operation performance by 50 % over the NIST recommended curve of GF (2283) comparing with another original method. © 2013 Springer-Verlag.
CITATION STYLE
Chen, H., Jiang, Y., & Jin, B. (2013). Scalable Karatsuba multiplier over finite field GF (2m ). In Lecture Notes in Electrical Engineering (Vol. 204 LNEE, pp. 79–84). https://doi.org/10.1007/978-1-4471-4802-9_11
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