This paper presents a new stenographic scheme based on matrix embedding using BCH syndrome coding. The proposed method embeds massage into cover by changing some coefficients of cover. In this paper defining a number :::as char:::acteristic of the syndrome, which is invariant with respect to the cyclic shift, we  propose a new embedding algorithm base on BCH  syndrome coding, without finding roots of quadratic and cubic polynomials in Galois field. The computational complexity of the proposed method is linear and space complexity is polynomial of order 2.

Keywords: BCH coding, Steganography, Characteristic of the syndrome, Syndrom coding, Syndrom.

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