具有好的伪随机特性的序列在码分多址系统、流密码学等领域具有重要作用。在某些应用环境中,通常需要序列具有良好的相关特性,例如在码分多址系统中,多个用户共享同一信道,每个用户分配不同的扩频序列。为了区分彼此,减少由于同时使用同一信道而产生的竞争和干扰,需要采用相关性较低的序列。令p,q为满足gcd(p-1,q-1)=2的两个不同素数。该文给出了一类周期为N=pq的二元Whiteman广义分圆序列,并利用广义分圆数等理论给出了该序列的自相关值。
Pseudorandom sequences with good properties are important for many practical applications,such as code division multiple access( CDMA) communication systems and cryptography. The sequences with good autocorrelation are needed in some well-known applications. In CDMA systems,several users share the same bandwidth,and each user is assigned a distinct spreading sequence. In order to distinguish each other and minimize interference due to competing and simultaneous traffic across the same channel,the employed sequences are required to have low correlation. Let p,q be distinct primes with gcd( p-1,q-1) = 2. In this paper,a class of Whiteman generalized cyclotomic binary sequence with period N = pq is constructed,and the autocorrelation value of the sequence is given.