• Journal of the Korea Institute of Information Security & Cryptology
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• v.13 no.5
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• pp.159-168
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• 2003

In [3], J. H. Cheon and S. T Chee proposed a method to generate boolean functions with good properties using a poly-nomials of degree 3 over a finite field $F_{2n}$. In this paper, we propose a method generating resilient functions with high nonlinearity from polynomials of degree 5 over a finite field $F_$2^n$$(n$\leq$14).

• The Journal of Korea Institute of Information, Electronics, and Communication Technology
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• v.4 no.4
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• pp.318-326
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• 2011

Public key cryptosystem applications are very difficult in Ubiquitos environments due to computational complexity, memory and power constrains. HECC offers the same of levels of security with much shorter bit-lengths than RSA or ECC. Scalar multiplication is the core operation in HECC. T.Lange proposed inverse free scalar multiplication on genus 2 HECC. However, further coordinate must be access to SCA and need more storage space. This paper developed secure scalar multiplication algorithm with simultaneous inversion algorithm in HECC. To improve the over all performance and security, the proposed algorithm adopt the comparable technique of the simultaneous inversion algorithm. The proposed algorithm is resistant to DPA and SPA.