A composite method for constructing perfect binary array pairs of high - dimension and high - order with known perfect binary array pairs is proposed and verified . the type of perfect binary array pairs constructed with constant weight perfect binary array pairs is discussed . the method can be used to construct infinite perfect binary array pairs 提出并证明了用已知最佳二进阵列偶构造高维、高阶最佳二进阵列偶的复合构造法；讨论了用等重最佳二进阵列偶复合构造新的高维、高阶最佳二进阵列偶时，所得到的最佳二进阵列偶的型的变化结果.使用这种方法可构造无穷多最佳二进阵列偶
The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where , m : [ 0 , t ] - s ( rn , rn ) is a continuous mapping in the space s ( rn , rn ) of symmetric real ( n x n ) - matrices , such that for some u > 0 and all ( t , z ) [ 0 , t ] x rn , ( m ( t ) x , x ) > u | x | 2 . a s ( rn , rn ) , f : [ 0 , t ] x rn r is continuous and f : [ 0 , t ] xr r exists , is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem . we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional . our work improves the existed results . we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem , and the functional does not need the condition of constant definite . at last , we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem ( ? ， ? )为r ~ n中内积， | ? |为对应范数。 f [ 0 ， t ] r ~ n r连续， ? f ( t ， x )存在且连续， h l ~ 1 ( 0 ， t ； r ~ n ) 。利用ekeland变分原理和鞍点定理讨论了该系统周期解的存在性，把非线性项和位势函数放宽到一类无界函数，推广了这方面工作的一些已有结果；利用广义鞍点定理和lusternik - schnirelman畴数理论得到了该系统的多重周期解，取掉了泛函的常定要求；最后利用对称山路定理得到没有扰动时系统的无穷多周期解。
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