Cryptosystems using error-correcting codes offer a powerful combination of security and reliability. In this paper, a secure cryptographic approach over noisy channels applying Dual of Generalized Reed-Muller (DGRM) codes is proposed. The implementation of these codes enables the localization and correction of errors. It enhances both of the security and efficiency in the channel. In the scheme, a binary image is encoded using DGRM codes which add redundancy bits to it and increase the error-resistant quality. The private key produced during the encryption is utilized in the decryption system to retrieve the input image. System performance is tested by evaluating the Mean-squared error (MSE), Peak signal to-noise ratio (PSNR), SSIM and correlations coefficients. The Robustness of the scheme is tested against basic attacks (i.e. CPA, KPA ). The proposed scheme is digitally implemented using MATLAB (2024a)