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| 1 | Permutation polynomials with low differential uniformity over finite fields of odd characteristic显示文摘In this paper, we propose a construction of functions with low differential uniformity based on known perfect nonlinear functions over finite fields of odd characteristic. For an odd prime power q, it is proved that the proposed functions over the finite field Fq are permutations if and only if q≡3(mod 4). | JIA WenJie ZENG XiangYong LI ChunLei HELLESETH Tor HU Lei | 2013 | Science China Mathematics2013，56，7： | 2 |
| 2 | New Generalized Cydlotomy and Its Applications显示文摘 | Ding Cunsheng Tor Helleseth | 1998 | Finite fields and their applications1998，4，2： | 1 |
| 3 | An Expansion for the Coordinates of the Trace Function over Galois Rings显示文摘 | P. Vijay Kumar Tor Helleseth | 1997 | Applicable Algebra in Engineering Communication and Computing1997，，5： | 1 |
| 4 | Divisibility properties of classical binary Kloosterman sums显示文摘 | Pascale Charpin Tor Helleseth Victor Zinoviev | 2008 | Discrete Mathematics2008，，12： | 1 |
| 5 | On the linear complexity of legendre sequences显示文摘 | Cunsheng Ding Tor Helleseth Weijuan Shan | 1998 | IEEE Trans IT1998，44，3： | 1 |
| 6 | Bourds on the minmum support weights显示文摘 | Tor Helleseth Torleiv Klove | 1995 | IEEE IT1995，41，2： | 1 |
| 7 | Several classes of binary sequences with three-level autocorrelation显示文摘 | Cunsheng Ding Tor Helleseth Kwork Yah Lamn | | 0，，07： | 1 |
| 8 | Some classes of complete permutation polynomials over Fq显示文摘By using a powerful criterion for permutation polynomials, we give several classes of complete permutation polynomials over finite fields. First, two classes of complete permutation monomials whose exponents are of Niho type are presented. Second, for any odd prime p, we give a sufficient and necessary condition for a-1xdto be a complete permutation polynomial over Fp4 k, where d =(p4k-1)/(pk-1)+ 1 and a ∈ F*p4k. Finally, we present a class of complete permutation multinomials, which is a generalization of recent work. | WU GaoFei LI Nian HELLESETH Tor ZHANG YuQing | 2015 | Science China Mathematics2015，58，10： | 1 |
| 9 | A new optimal quaternary sequence family of length 2(2 n ? 1) obtained from the orthogonal transformation of Families $${\mathcal{B}}$$ and $${\mathcal{C}}$$显示文摘 | Xiaohu Tang Tor Helleseth Pingzhi Fan | 2009 | Designs Codes and Cryptography2009，，3： | 1 |
| 10 | An Analogue of the Z4-Goethals Code in Non-Primitive Length显示文摘This paper constructs a cyclic Z_4-code with a parity-check matrix similar to that of Goethals code but in length 2~m+ 1, for all m ≥ 4. This code is a subcode of the lifted Zetterberg code for m even. Its minimum Lee weight is shown to be at least 10, in general, and exactly 12 in lengths 33, 65. The authors give an algebraic decoding algorithm which corrects five errors in these lengths for m = 5, 6 and four errors for m > 6. | ALAHMADI Adel ALHAZMI Husain ALI Shakir HELLESETH Tor HIJAZI Rola LI Chunlei SOLE Patrick | 2017 | Journal of Systems Science & Complexity2017，30，4： | 0 |
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