讨论若干类广义自缩序列的最小周期,如:b(a(k-2)+a(k+1)),b(a(k-1)+a(k+2)),b(a(k-2)+a(k-1)+a(k+1)),b(a(k-1)+a(k+1)+a(k+2)),…,等,通过分析比特串00出现次数的奇偶性,均在半数情形下证明了它们的最小周期达到最大,即2n-1.
This paper discusses the least periods of generalized self-shrinking sequences b(a(k-2)+a(k+1)),b(a(k-1)+a(k+2)),b(a(k-2)+a(k-1)+a(k+1)),b(a(k-1)+a(k+1)+a(k+2)),…,etc.By analysing the appearing times of the bit string "00" in these generalized selfshrink- ing sequences ,it is proved that in half cases their least periods reach the maximum ,namely 2^n-t.