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    To a (n, k, t) RS code, when v, the number of the errorsymbol in its received words r(x), is equal to t, rn-1 must be an inaccurate symbol if and only if det(Njt+1) = 0 and nonzero element B = det(Njt)/det(Mjt-1) exist.
    对于一个(n,k,t)RS码,其接收码字,r(x)中错误符号的个数v=t时,仅当非零元素β=det(N_t~j)/det(M_(t-1)~j)存在以及det(N′_(t+1)~j)=0时,符号r_(n-j)才是一个错误的符号。
    In this paper,we have defined a kind of finite groups. The group G is regarded as “*” group,if and only if |μ(G)|=|π(G)|.
    本文讨论了一类有限群,当且仅当|μ(G)|=|π(G)|,我们称该群 G 为“*”群。
    U sing the formula obtained,it is show that if the frequency response H(ω) is continuous and the set H 0 of zeros of H(ω) and the set Γ x of jump points of F x(ω) do not intersect each other,then t he output spectral function F x(ω) is a pure jump function on [-π, π] if and only if so the input spectral function F x(ω) is.
    利用所得公式 ,在系统的频率响应 H( ω)连续且它的零点集 H0 与输入序列谱函数 Fx( ω)的跳跃点集 Γx 适合 Γx∩ H0 =的条件下 ,证明了输出序列谱函数Fy( ω)为 [- π,π]上的纯跳跃函数的充要条件是 Fx( ω)亦为 [- π,π]上的纯跳跃函数。
    The results show that, under certain conditions, a d-form p—ary sequence possesses ideal autocorrelation if and only if its corresponding d-form function is difference-balanced .
    结果表明,在一定条件下,一个p—元d—型序列取得理想的自相关值当且仅当与之对应的d—型函数具有差分平衡性质。
    SetP(xo,XI,...,Xd1) =xdI+r(XO,xl ,...,xd2), then the compression mappingis injectiveness, that is, a=b if and only if p(ao,a,...,adI) =p(bo,bl,...,bdI) for a, beG(f(x)).
    (a_0,a_1,…,a_(d-1))=(?) (b_0,b_1,…,b_(d-1))。
    Under the condition of nondegenerate linear transformation, a partially-bent function f(x) on V_n satisfies the SAC if and only if there exists a vector a∈ V_n such that △_f(a) = 0. Under the condition of |R| > 2, we present an upper bound of the degree of partially-bent functions satisfy the propagation criteria.
    在|R|>2的条件下,给出了部分Bent函数满足扩散准则次数的上界。
    By doing so the candidate pulses for replacement are greatly reduced in the sense that pulses in LPMG (Low Probability Member Group) in each track will be tested for replacement if and ONLY if there's NO pulse in HPMG (High Probability Member Group) meeting the algorithm demand.
    初始化后,通过计算当前固定码本中每个脉冲的负面贡献值来对当前码本进行脉冲替换。 而在每个脉轨里随后进行的脉冲替换时,算法将始终遵循这样的原则:只有在没有一个高概率成员组合中的脉冲满足要求时才去测试低概率成员组合中的脉冲,从而脉冲替换时的备选脉冲个数相应地减少了,使得算法搜索复杂度大大降低。
    The main results of the paper are listed below:(1) The relationship between the linear complexity of the original sequence and the decimated sequence is presented. It is proved that: the linear complexity of the dth decimated sequence of Lth m sequence is equal to the L for all integers d(0if and only if L is a prime number.
    (1) 给出了采出序列的线性复杂性与被采序列的线性复杂性之间的关系,证明了对所有正整数d(0<d<T),L级m序列的d采样序列的线性复杂性都不减少的充要条件是L是素数;
 

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