New Results on Nonexistence of Perfect p-Ary Sequences and Almost p-Ary Sequences
New Results on Nonexistence of Perfect p-Ary Sequences and Almost p-Ary Sequences
摘要
Complex periodical sequences with lower antocorrelation values are used in CDMA comnmnieation systems and cryptography. In this paper we present new nonexistence results on perfect p-ary sequences and almost p-ary sequences and related difference sets by using some knowledge on cyelotomic fields and their subfields.
Complex periodical sequences with lower antocorrelation values are used in CDMA comnmnieation systems and cryptography. In this paper we present new nonexistence results on perfect p-ary sequences and almost p-ary sequences and related difference sets by using some knowledge on cyelotomic fields and their subfields.
基金
supported by the Tsinghua National Lab.for Information Science and Technology
参考文献8
-
1Banica, T., Nechita, I., Schlenker, J. M.: Analytic aspects of the circulant Hadamard conjecture. http://arxiv.org/abs/1212.3589v3.
-
2Chee, Y. M., Tan, Y., Zhou, Y.: Almost p-ary perfect sequences. Lecture Notes Comput. Sci., 6336 399-415 (2010).
-
3Feng, K. Q.: Generalized bent functions and class group of imaginary quadratic fields. Sei. China Ser. A 44, 562 570 (2001).
-
4Jungnickel, D., Pott, A.: Perfect and almost perfect sequences. Discrete Appl. Math., 95, 331 359 (1999).
-
5Krengel, E. I.: Some constructions of almost-polyphase sequences. Lecture Notes in Comput. Sci., 6338, 387 398 (2010).
-
6Ma, S. L., Ng, W. S.: On nonexistence of perfect and nearly perfect sequences. Intl. J. Info. Coding Theory, I, 15--38 (2009).
-
7Ozbudak, F., Yayla, O., Yildirim, C. C.: Nonexistence of certain almost p-ary perfect sequences. Lecture Notes in Comput. Sei., 7280, 13-24 (2012).
-
8Washinton, L. C.: Introduction to Cyclotomic Fields (section edition), GTM 83, Springer-Verlag, New York. 1996.
-
1李念,李胜华.一类四值相关的p元序列的研究[J].数学物理学报（A辑）,2011,31(3):620-627. 被引量：1
-
2胡飞,靳蕃.“一类二值自相关序列族的构造方”法的注记[J].通信技术,2003,36(8):94-95. 被引量：1
-
3夏永波.一类新的具有大集合容量的p元低相关序列集[J].中国科学技术大学学报,2011,41(7):636-641.
-
4管平,樊继山.Some Remarks on Stationary Thermistor Problem[J].Journal of Southeast University(English Edition),1996,12(2):94-97.
-
5CAI Han,ZENG Xiangyong,HU Lei.FAMILIES OF p-ARY SEQUENCES WITH LOW CORRELATION AND LARGE LINEAR COMPLEXITY[J].Journal of Systems Science & Complexity,2014,27(6):1305-1319.
-
6黄泽明,李超.p元序列的三项式特性[J].武汉大学学报（理学版）,2006,52(5):655-658. 被引量：2
-
7戴宗铎,叶顶锋,王平,方根溪.Galois环导出p元序列中元素组的分布及其渐近均匀性[J].通信学报,2002,23(5):39-44.
-
8蔡勉,伊利江.广义Stamp-Martin算法[J].西安电子科技大学学报,1999,26(6):746-751. 被引量：3
-
9黄泽明,李超.具有最佳相关性和极大线性复杂度的CDMA序列[J].应用科学学报,2007,25(4):348-353.
-
10Feng Mei LIU,Qin YUE.The Relationship between the Nonexistence of Generalized Bent Functions and Diophantine Equations[J].Acta Mathematica Sinica,English Series,2011,27(6):1173-1186.
