| 摘要 |
A method of generating a linear transformation matrix A for use in a symmetric-key cipher includes generating a binary [n,k,d] error-correcting code, where k<n <2k, and d is the minimum distance of the binary error-correcting code. The code is represented by a generator matrix GepsiZ2kxn in a standard form G=(Ik∥B), with BepsiZ2kx(n-k). The matrix B is extended with 2k-n columns such that a resulting matrix C is non-singular. The linear transformation matrix A is derived from matrix C. Preferably, the error correcting code is based on an XBCH code.
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