prime field

Noun

 * 1)  A field that contains no proper subfields.
 * 2) * 1968, J. F. Schuh, Mathematical Tools for Modern Physics, Philips Technical Library, page 91,
 * Theorem 2. Each field contains a unique prime field.
 * 1) * 2004, H. Gopalkrishna Gadiyar, K. M. Sangeeta Maini, R. Padma, Cryptography, Connections, Cocycles and Crystals: A p-adic Exploration of the Discrete Logarithm Problem, Anne Canteaut, Kapaleeswaran Viswanathan (editors), Progress in Cryptology - INDOCRYPT 2004: 5th International Conference, Proceedings, Springer, 3348, page 305,
 * Applying Hensel's lemma to the discrete logarithm problem over prime fields reveals the rich geometric and algebraic structure underlying the problem.