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101.
Jong-Seon No 《Designs, Codes and Cryptography》2004,33(3):199-213
In this paper, for a prime power q, new cyclic difference sets with Singer para- meters ((q
n
–1/q–1), (q
n–1–1/q–1), (q
n–2–1/q–1)) are constructed by using q-ary sequences (d-homogeneous functions) of period q
n
–1 and the generalization of GMW difference sets is proposed by combining the generation methods of d-form sequences and extended sequences. When q is a power of 3, new cyclic difference sets with Singer parameters ((q
n
–1/q–1), (q
n–1–1/q–1), (q
n–2–1/q–1)) are constructed from the ternary sequences of period q
n
–1 with ideal autocorrelation introduced by Helleseth, Kumar, and Martinsen. 相似文献
102.
独立与NA列部分和的精致渐近性 总被引:8,自引:2,他引:6
令{X,Xi:i≥1)为属于非退化稳定分布一般吸引场的独立同分布随机变量列,Sn=∑i=1nXi.本文对十分广泛的拟权函数和边界函数得到了Sn的精致渐近的结果和正态吸引场强平稳NA列部分和的精致渐近的结果,改进并推广了Wang等的结果,从而使此前关于独立列和NA列部分和精致渐近性方面的许多经典的和最新的结果都可以包括在本文的框架之内. 相似文献
103.
In this paper some decompositions of Cauchy polynomials, Ferrers-Jackson polynomials and polynomials of the form x
2n
+ y
2n
, n ∈ ℕ, are studied. These decompositions are used to generate the identities for powers of Fibonacci and Lucas numbers as well
as for powers of the so called conjugate recurrence sequences. Also, some new identities for Chebyshev polynomials of the
first kind are presented here. 相似文献
104.
We continue the study of the linear complexity of binary sequences, independently introduced by Sidel’nikov and Lempel, Cohn,
and Eastman. These investigations were originated by Helleseth and Yang and extended by Kyureghyan and Pott. We determine
the exact linear complexity of several families of these sequences using well-known results on cyclotomic numbers. Moreover,
we prove a general lower bound on the linear complexity profile for all of these sequences. 相似文献
105.
Andreas Rosenschon 《Topology》2005,44(6):1159-1179
We solve the homotopy limit problem for two-primary algebraic K-theory of fields, that is, the Quillen-Lichtenbaum conjecture at the prime 2. 相似文献
106.
冯克勤 《高校应用数学学报(A辑)》1992,(3)
In this paper we present a series of binary sequences which is a generalization of GMW sequences constructed by Scholtz and Welch. Our sequences have optimal autocorrelation values as m -sequences, and nice pseudo-random property. The number of such sequences is counted and the linear span of such sequences is evaluated. 相似文献
107.
MacMahon’s definition of self-inverse composition is extended ton-colour self-inverse composition. This introduces four new sequences which satisfy the same recurrence relation with different
initial conditions like the famous Fibonacci and Lucas sequences. For these new sequences explicit formulas, recurrence relations,
generating functions and a summation formula are obtained. Two new binomial identities with combinatorial meaning are also
given. 相似文献
108.
109.
Kana Nishimori Makoto Ouchi Mitsuo Sawamoto 《Macromolecular rapid communications》2016,37(17):1414-1420
A special initiator for metal‐catalyzed living radical polymerization facilitates sequence analyses by matrix‐assisted laser desorption/ionization time of flight mass spectrometry (MALDI‐TOF‐MS) of alternating copolymers from styrene and maleimide derivatives. The initiator is a malonate‐based alkyl halide (DEMM‐Br), in which two ester groups are attached on the carbon neighboring to bromide, and poor electron density of the radical species allows determination of next unit to the initiator in resultant alternating copolymers due to the selective initiation to styrene derivative. Thanks to the well‐defined α‐end group, sequence of the oligomeric products via radical copolymerization of PMS and EMI with DEMM‐Br can be more simply analyzed by MALDI‐TOF‐MS, and indeed the following are clarified: the crossover propagation is almost perfectly controlled regardless of the injection ratio; a minor error event of the disordered alternating sequence containing St–St sequential unit could take place; the minor error can be suppressed with an excess amount of maleimide.
110.
近年来,伽罗瓦环上的序列理论成为人们研究的热点问题.有限域上的No序列是一类伪随机序列,它在序列密码中占具十分重要的角色.本文利用伽罗瓦环上的置换,构造了伽罗瓦环Z_(p~e)上的一类新的No序列,并且研究了其线性复杂度.研究的结果表明此类No序列具有相当大的线性复杂度. 相似文献