Breaking the Generative Steganography Trilemma: ANStega for Optimal Capacity, Efficiency, and Security

—Generative steganography shows immense promise for covert communication, yet existing methods are often constrained by a trilemma of capacity, efficiency, and security. Methods based on Huffman Coding (HC) suffer from poor efficiency and security, while those based on Arithmetic Coding (AC), despite achieving optimal capacity, also pose security risks. Although recent provably secure methods have addressed the security issue, they often do so at the cost of elevated embedding complexity or diminished capacity—failing to match the high capacity exhibited by AC-based methods. To address this trilemma, we adapt Asymmetric Numeral Systems (ANS) for steganography. Our core insight is to repurpose the ANS state machine, using its decoding function for embedding and its encoding function for extraction. To translate this concept into a practical system, we introduce several key innovations. First, we incorporate a streaming architecture with state renormalization to enable the stable embedding of arbitrarily long messages. Second, we employ direct floating-point arithmetic, avoiding costly probability-to-frequency conversions to reduce complexity and precision loss. More critically, we introduce an innovative cryptographic mask mechanism that ensures the sampling process is driven by a cryptographically secure pseudo-random number generator, thereby achieving provable security. Finally, by optimizing core computations into highly efficient bitwise shift operations, ANStega achieves exceptional embedding and extraction speeds. Experimental results validate that ANStega simultaneously achieves optimal embedding capacity, optimal efficiency (embedding complexity with O (1) ) and optimal security, successfully resolving the long-standing trilemma in generative steganography.