Healthcare-related costs still pose problems despite the availability of large quantities of healthcare information. In this paper we propose reducing health-related costs while not violating the privacy of information related to the patients, and we also address the authentication of the blockchain. This study makes use of raw data by processing it in a reasonable way to provide effective and less costly healthcare services along with the needed privacy and ease of accessibility of information to the relevant providers. The current paper utilizes the properties of the logistic map as SHA-256 calculates the hash value for the plain text, with the results being applied to change the initial keys for the logistic map. For expansion of the chaotic region of the logistic map and for making it better suited for the generation key, a mixture of multiple parameters of the logistic map key generation is proposed. Algorithm 2 shows how to generate a new key for the hash function for the new block. A key generator based on logistic map theory can be applied. The key generator is not meant to regenerate, which means that it is not possible to regenerate the same key. Therefore, the authentication is strengthened.