给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
运用初等变换方法探讨了数量对合矩阵的若干秩等式。
The paper get some rank equalities of scalar-involutory matrices by elementary operation.
基于S-P网络中P置换的重要性和加解密的一致性，本文提出了对合型列混合变换的概念，并对其代数结构、枝数和计数问题进行了深入地研究和分析。
Based on the importance of P transform and coherence in encryption-decryption in the S-P networks, we put forward the definition of involution-typed mixcolumn transform.
基于S-P网络中P置换的重要性和加解密的一致性，本文提出了对合型列混合变换的概念，并对其代数结构、枝数和计数问题进行了深入地研究和分析。
Based on the importance of P transform and coherence in encryption-decryption in the S-P networks, we put forward the definition of involution-typed mixcolumn transform.
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