收稿日期: 2002-09-02
修回日期: 2002-11-13
网络出版日期: 2003-05-10
Construction of Resilient Functions over a Galois Ring
Received date: 2002-09-02
Revised date: 2002-11-13
Online published: 2003-05-10
Supported by
supported by the National Natural Science Foundation of China (Grant No.90104034) and the 863 Program (Grant No.2002AA141020)
胡磊 , 文铁华 , 冯登国 . Galois环上弹性函数的构造(英文)[J]. 中国科学院大学学报, 2003 , 20(3) : 353 -357 . DOI: 10.7523/j.issn.2095-6134.2003.3.015
Presents a method to combine resilient functions over a Galois ring by a quasi-affine function to get a new resilient function of higher resilient order.From the discussion of the construction of quasi-affine functions, it is seen that there are abundant choices of quasi-affine functions.
[1] J Bierbrauer, K Gopalakri shnan, D R Stinson.Bounde for resilient functions and orthogonal arrays.In :Y Desmedt (ed).Advance in Cryptology-CRYPTO94.1994.247~ 256
[2] J Seberry, X M Zhang, Y Zheng.On constructions and nonlinearity of correlation-immune functions.In:T Helleseth (ed).Advance in Cryptology-Eurocrypt'93.Berlin/Heideberg/New York:Springer-Verlag, 1994.181 ~ 199
[3] X M Zhang, Y L Zheng.Cryptographi cally resi lient functions.IEEE Trans on Information Theory, 1997, 43(5):1740 ~ 1746
[4] G Z Xiao, J L Massey.A spectral characterization of correlation-immune functions.IEEE Trans on Information Theory, 1988, 34(3):569~ 571
[5] A R Calderbank, J A Sloane.Modular and p-adi c cyclic codes.Design, Codes, and Cryptography,1995, 6:21 ~ 35
[6] J C Interlando, R Palazzo,M Elia.On the decoding of Reed-Solomon and BCH codes over integer residues rings.IEEE Trans of Information Theory,1997, 43(3):1013~ 1021
[7] B R McDonald.Finite rings with identity.New York :Dekk, 1974
[8] P Camion, A Canteaut.Const ruction of t-resilient funnctions over a finite alphabet.In :U Maurer (ed).Advance in Cryptology-Eurocrypt'96.Berlin:Springer, 1996.283~293
[9] C Carlet.More correlation-immune and resilient fumctions over Galois f ields and Galois rings.In :W Fumy (ed).Advance in Cryptology-Eurocrypt97.Berlin:Springer, 1997.442 ~ 433
[10] I M Isaacs.Character theory of finite groups.New York/San Francisco/London:Academic Press, 1976
/
| 〈 |
|
〉 |