The invention provides a GF (27) finite field and dual authentication-based meaningful (K, N) image sharing and reconstructing method. Ring the sharing period, the sub-band of a secret image LL is scrambled, and the coefficients of bits are backed up by different numbers according to the degrees of importance thereof. Finally, a backup image of the same size with the secret image is formed. After that, secret pixels, backup pixels and the corresponding dual-authentication information are shared in the form of (K, N) in the GF (27) finite field. Based on the optimized LSB method, the shared information and primary authentication bits are embedded into the lower-order bits of a bunker block to maximally ensure the visual quality of distributed bunker images. During the reconstruction process, the shared information for recovery is screened through the primary authentication step. After that, the reliability of recovered secret pixels and the reliability of recovered backup pixels are verified through the secondary authentication step, so that an authentication image, a backup image and a preliminary secret image are formed. In combination with the secret image, a recovered reference image and the authentication image, the non-pass pixels of the secret image during the authentication process are subjected to polynomial fitting repair and alternative repair, so that the repair quality after the attack is better.