Image encryption is one of the most common and effective methods to secure digital images. Recently, Khalid M. Hosny presented an image encryption scheme based on 6D hyper chaotic mapping and Q-Fibonacci matrix, which, despite its remarkable theoretical and practical properties, has several weaknesses, including inaccuracy of black image encryption, inappropriate white image encryption (improper entropy parameters, correlation, chi-square test, histogram, UACI, and NPCR), weak keys, inappropriate key usage. In this paper, based on Khaled Hosny's design, a new effective design is presented that has improved encryption security and efficiency. In addition, in the proposed design, a secure key and a substitution box with a high degree of transparency order, which is resistant to DPA attacks, have been added. Also, a method to improve transferring chaos parameters is also proposed. The test results show the improvement of the resistance of the proposed design against the common attacks of image encryption schemes and improvement in bandwidth consumption. Also it has been shown that the proposed scheme has produced better results in terms of both security and efficiency compared to other similar new schemes.