## 1 Introduction  
In the current digital era, computer and communication systems are undergoing significant development worldwide. Wired, wireless, and optical communication networks have achieved remarkable data transmission rates that exceeded peoples' expectations, unlocking continuous potential for information exchange. Particularly, with the explosion of the Internet and the pervasive diffusion of information technology, information security directly influences the lives of the majority of people across the globe. Since its inception, the Internet has been constructed on an open network architecture with non-integrated secure nodes, exposing vulnerabilities that render it susceptible to attack and breach by hackers. Within this context, ensuring the security and privacy of information transmitted over networks, particularly when it contains sensitive or confidential content, has emerged as a critical and urgent task in the present era. To address this challenge, encryption methods based on complex problems have been extensively researched and developed over a prolonged period [1, 2, 3]. However, all these methods share a common drawback in that they cannot effectively hide the fact of data transmission. When employing encryption algorithms such as the Data Encryption Standard (DES) [4], Triple DES (3 DES) [5], RSA [6], and similar methods to encrypt messages before transmission through networks, information may still be detected, although it is difficult for others to ascertain the precise content of that information. Therefore, in the field of information security, concealing the fact of data transmission presents a significant challenge. One of the effective methods to achieve this goal is to use information protection techniques, collectively referred to as steganographic methods [7; 8; 9]. Through information concealment, data can be covertly hidden within various media such as text, images, videos, and audio, making it difficult for external parties to detect or infer. Steganographic techniques not only conceal the storage of confidential information but also have the capability to hide confidential information when transmitting it through a network environment. Currently, the method of information concealment through the utilization of multi-channel media [10; 11; 12] is one of the most popular techniques. These media provide diverse and flexible storage spaces for concealing confidential information. During information concealment, data files containing secret information are embedded within text, images, videos, or audio files. This diversity enhances the success and secrecy of the information concealment process. In multi-channel systems, one approach to addressing the problem of secure data transmission is to utilize shortest path algorithms for determining transmission routes. For example, a model based on a modified of the Dijkstra algorithm is proposed in [13]. This algorithm variant not only enables the search for the shortest path but also identifies several alternative backup routes. This variation enhances the stability of the telecommunication network. However, a drawback of concealing information within a multi-channel medium is that data are transmitted through a fixed route. This introduces the risk of interception, attacks, or potential data loss during the transmission process over the network. Such vulnerabilities can expose sensitive information and jeopardize the security of both concealed systems and concealed network infrastructure. To overcome this drawback, this paper introduces a novel data transmission model with the main goal of enhancing the secrecy of steganographic systems. In this model, we employ a modified Dijkstra algorithm, as proposed by the authors in [13], combined with a dynamic use of multiple transmission routes, similar to the pseudo-random frequency-hopping spread spectrum (FHSS) method in radio, to enhance message transmission speed, reliability, and security within the steganographic system.