Polynomial in which all coefficients are one
In mathematics , an all one polynomial (AOP) is a polynomial in which all coefficients are one. Over the finite field of order two , conditions for the AOP to be irreducible are known, which allow this polynomial to be used to define efficient algorithms and circuits for multiplication in finite fields of characteristic two.[ 1] The AOP is a 1-equally spaced polynomial .[ 2]
^ Cohen, Henri; Frey, Gerhard; Avanzi, Roberto; Doche, Christophe; Lange, Tanja ; Nguyen, Kim; Vercauteren, Frederik (2005), Handbook of Elliptic and Hyperelliptic Curve Cryptography , Discrete Mathematics and Its Applications, CRC Press, p. 215, ISBN 9781420034981 .
^ Itoh, Toshiya; Tsujii, Shigeo (1989), "Structure of parallel multipliers for a class of fields GF(2m )", Information and Computation , 83 (1): 21–40, doi :10.1016/0890-5401(89)90045-X .