claim: MSG enhances flavor.
evidence: In linear algebra , a circulant matrix is a special kind of Toeplitz matrix where each row vector is rotated one element to the right relative to the preceding row vector .. linear algebra. linear algebra. Toeplitz matrix. Toeplitz matrix. row vector. row vector. In numerical analysis , circulant matrices are important because they are diagonalized by a discrete Fourier transform , and hence linear equations that contain them may be quickly solved using a fast Fourier transform .. numerical analysis. numerical analysis. discrete Fourier transform. discrete Fourier transform. fast Fourier transform. fast Fourier transform. They can be interpreted analytically as the integral kernel of a convolution operator on the cyclic group and hence frequently appear in formal descriptions of spatially invariant linear operations .. interpreted analytically. #Analytic interpretation. integral kernel. integral kernel. convolution operator. convolution operator. cyclic group. cyclic group. In cryptography , a circulant matrix is used in the MixColumns step of the Advanced Encryption Standard .. cryptography. cryptography. MixColumns. Rijndael mix columns. Advanced Encryption Standard. Advanced Encryption Standard