Browse > Article
http://dx.doi.org/10.13089/JKIISC.2003.13.5.159

On a construction of resilient functions using a hyperelliptic curve with genus 2  

최춘수 (단국대학교 첨단과학부)
이민섭 (단국대학교 첨단과학부)
Publication Information
Journal of the Korea Institute of Information Security & Cryptology / v.13, no.5, 2003 , pp. 159-168 More about this Journal
Abstract
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).
Keywords
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 /
[ R.Lidl;H.Niederreiter ] / Finite fields, Encyclopedia of Math. and its application
2 Nonlinearity and Propagation Characteristics of Balanced Boolean functions /
[ J.Seberry;X.M.Zhang;Y.Zheng ] / Information and Computation 119(1)
3 Nonlinear Vector Resilient Function /
[ J.H.Cheon ] / Advances in Cryptology-CRYPTO 2001,LNCS
4 An elementary introduction to hyperelliptic curves /
[ A.Menezes;Y.Wu;R.Zuccherato ] / Technical Report CORR-96-19, CACR
5 Highly monlinear balanced Boolean functions satisfying high degree propagation criterion /
[ J.Seberry;X.M.Zhang;Y.Zheng ] / Technical Report No. 93-1
6 Nonlinearity bounds and consructions of resilient boolean functions /
[ P.Sarkar;S.Maitra ] / Adbances in Cryptology-Crypto 2000, LNCS   DOI
7 On constructions and nonlinearity of correlation immune functions /
[ J.Seberry;X.M.Zhang;Y.Zheng ] / Advances in Cryptology-Eurocrypt'93,LNCS
8 /
[ J.H.Cheon;J.H.Silverman ] / An algebraic approach to boolean functions
9 /
[ A. Menezes ] / Applications of Finite Fields
10 Elliptic Curves and Resilient Functions /
[ J.H.Cheon;S.T.Chee ] / ICISE 2000,LNCS 2015
11 Correlation immunity of nonlinear combining functions for cryptographic applications /
[ T.Siegenthaler ] / IEEE Trans. Information Theory   DOI
12 /
[ A. Menezes ] / Elliptic Curve Public Key Cryptosystems
13 /
[ T.M.Cusick;P.Stanica ] / Fast Evaluation Weights and Nonlinearity of Rotation-Symmetric Functions
14 semi-bent functions /
[ S.T.Chee;S.J.Lee;K.J.Kim ] / Proc. of Asiacrypto'94
15 Isomorphism classes of hyperelliptic curves of genus 2 over F₂ for even n /
[ C.S.Choi;M.S.Rhee ] / To be appeared in J. of Applied Math and Computing   과학기술학회마을
16 /
[ A.Menezes;L.Encinas;J.Masque ] / Isomorphism Classes of Genus 2 Hyperelliptic Curves over Finite Fields
17 Roots of affine polynomial /
[ G.Menichetti ] / Annals of Discrete Mathematics