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Research Article Open Access
The Faugère F5 algorithm first calculates the Gröbner basis of a pair of generator polynomials of the ideal. And it uses to reduce the sizes of initial matrices of created messages which had to be embedded in image steganography. The stenographical systems are weak against statistically and visually weak which offers only a relatively small capacity of stenographic message but the newly developed f5 algorithm help to embedded messages in images large capacity of steganography. It implement matrix encoding and permutation straddling to embedded message with large capacity and reduces the embedded-image.