ABSTRACTA new public authenticated encryption scheme based on chaotic maps and factoring problems is proposed. The chaos-based cryptosystem offers an encryption scheme with several advantages including secure transfer, high speed encryption, and reasonable computational overheads. Cryptographic factoring and chaotic system are employed to enhance the security of our convertible authenticated encryption scheme. The encryption, signature generation, signature verification, and message recovery are discussed in details. Several security attacks are proposed to illustrate the system shield through chaotic maps and factoring problems. The performance analysis of the proposed scheme show a much improved performance over existing techniques.