Abstract: A method and a system for generating public randomness are provided. A measurement of a public randomness and/or a measurement of a plaintext may be obtained, and a desired size of a private randomness may be determined based on the measurements. Private randomness may be generated, the private randomness may be encrypted, the private randomness may be deleted so that the private randomness is unrecoverable, and the encrypted private randomness may be published. Encrypted private randomness and public randomness may be obtained, and a new public randomness may be generated based on the public randomness and the encrypted private randomness.

Abstract: A method and a system for generating public randomness are provided. A measurement of a public randomness and/or a measurement of a plaintext may be obtained, and a desired size of a private randomness may be determined based on the measurements. Private randomness may be generated, the private randomness may be encrypted, the private randomness may be deleted so that the private randomness is unrecoverable, and the encrypted private randomness may be published. Encrypted private randomness and public randomness may be obtained, and a new public randomness may be generated based on the public randomness and the encrypted private randomness.

Abstract: A method and a system for generating private randomness and/or public randomness are provided. A measurement of a public randomness and/or a measurement of a plaintext may be obtained, and a desired size of a private randomness may be determined based on the measurements. The measurements may be based on one or more Tsallis entropy values of the public randomness and/or the plaintext. Private randomness may be generated, the private randomness may be encrypted, the private randomness may be deleted so that the private randomness is unrecoverable, and the encrypted private randomness may be published. Encrypted private randomness and public randomness may be obtained, and a new public randomness may be generated based on the public randomness and the encrypted private randomness.