By using d-form function, a new construction of frequency hopping sequence with optimal Hamming correlation is presented in this article, which generalizes the results presented by Ding （2007）. Furthermore, a new cl...By using d-form function, a new construction of frequency hopping sequence with optimal Hamming correlation is presented in this article, which generalizes the results presented by Ding （2007）. Furthermore, a new class of non-power function style d-form function is proposed and an upper bound of the Hamming autocorrelation of the corresponding sequence is also derived.展开更多
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 seq...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.展开更多
This paper generalizes a method of generating shift sequences in the interleaved construction proposed by Gong.With the new shift sequences,some new families of p-ary sequences with desired properties can be obtained....This paper generalizes a method of generating shift sequences in the interleaved construction proposed by Gong.With the new shift sequences,some new families of p-ary sequences with desired properties can be obtained.A lower bound on the number of new families of binary sequences is also established.展开更多
This article presents a new family of p-ary sequences. The proposed sequences are proved to have not only low correlation property, but also large linear span and large family size. Furthermore, it shows that the new ...This article presents a new family of p-ary sequences. The proposed sequences are proved to have not only low correlation property, but also large linear span and large family size. Furthermore, it shows that the new family of sequences contains Tang＇s construction as a subset if m-sequences are excluded from both constructions.展开更多
In this paper, a recursion is derived to compute the linear span of the p-ary cascaded GMW sequences. It is the first time to determine the linear span of the p-ary cascaded GMW sequence without any restriction on the...In this paper, a recursion is derived to compute the linear span of the p-ary cascaded GMW sequences. It is the first time to determine the linear span of the p-ary cascaded GMW sequence without any restriction on the parameters completely. Whereas, the known result on the p-ary cascaded GMW sequence with the specific parameters in the literature could be viewed as a special case of the new result.展开更多
基金supported by the Key Project of Fujian Provincial Universities-Information Technology Research Based on Mathematics,Natural Science Foundation of Fujian Province (2010J01319)the Excellent Young Teacher Developing Program of Fujian Normal University (2008100211)
文摘By using d-form function, a new construction of frequency hopping sequence with optimal Hamming correlation is presented in this article, which generalizes the results presented by Ding （2007）. Furthermore, a new class of non-power function style d-form function is proposed and an upper bound of the Hamming autocorrelation of the corresponding sequence is also derived.
基金supported by the Tsinghua National Lab.for Information Science and Technology
文摘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 National Natural Science Foundation of China under Grant No.61170257supported by the National Key Basic Research Program of China under Grant No.2013CB834203+1 种基金the National Science Foundation of China under Grant Nos.10990011 and 61070172the Strategic Priority Research Program of Chinese Academy of Sciences under Grant No.XDA06010702
文摘This paper generalizes a method of generating shift sequences in the interleaved construction proposed by Gong.With the new shift sequences,some new families of p-ary sequences with desired properties can be obtained.A lower bound on the number of new families of binary sequences is also established.
基金the Major Research plan of the National Natural Science Foundation of China（90604023）；the Natural Science Foundation of Beijing（4072020）；the National Research Foundation for the Doctoral Program of Higher Education of China（20040013007）； the National High Technology Research and Development Program of China(2006AA01Z419）.
文摘This article presents a new family of p-ary sequences. The proposed sequences are proved to have not only low correlation property, but also large linear span and large family size. Furthermore, it shows that the new family of sequences contains Tang＇s construction as a subset if m-sequences are excluded from both constructions.
基金the National Natural Science Foundation of China (Grant No. 60302015)the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No. 200341)Sichuan Youth Science Foundation (Grant No. 04ZQ026-048)
文摘In this paper, a recursion is derived to compute the linear span of the p-ary cascaded GMW sequences. It is the first time to determine the linear span of the p-ary cascaded GMW sequence without any restriction on the parameters completely. Whereas, the known result on the p-ary cascaded GMW sequence with the specific parameters in the literature could be viewed as a special case of the new result.
