prime field

短语

词形变化

prime fields 复数 prime fields

释义与例句

n.
  1. 1.

    A field that contains no proper subfields.

    数学

    1968, J. F. Schuh, Mathematical Tools for Modern Physics, Philips Technical Library, page 91, Theorem 2. Each field contains a unique prime field.

    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, LNCS 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.