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The significance of data security has become more critical due to the ever-changing goals and capabilities of attackers. As a result, many cryptosystems employing diverse approaches are being developed to safeguard sensitive data. A Substitution box (S-box) plays a vigorous role in modern cryptosystems because of its credence for inducing confusion during the encryption process and ultimately protecting the data. Currently, chaotic maps are being developed and widely employed to yield S-Boxes as the use of chaotic maps aids in the randomness and resistance to mitigate many cryptanalytic attacks. In this paper, a novel chaotic map and an inventive systematic search method are proposed for the generation of key-dependent dynamic and highly nonlinear S-boxes. A variety of standard cryptographic tests such as fixed-point analysis, nonlinearity (NL), strict avalanche criterion (SAC), bit independence criterion …