Abstract
This paper proposes a new representation for ideals of any order in an algebraic number field. This representation is compact and highly readable; for example, (95, x+65)(2216) and (7, x2 +4)(95, x+46) are two ideals of Z[x]/(x4 - x3 + 7x2 - 11x + 5), with sum (19, x + 8). Arithmetic on ideals in this form is generally much faster than arithmetic in the Z-basis or two-element representations.
Cite
CITATION STYLE
Bernstein, D. J. (1996). Fast ideal arithmetic via lazy localization. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1122, pp. 27–34). Springer Verlag. https://doi.org/10.1007/3-540-61581-4_38
Register to see more suggestions
Mendeley helps you to discover research relevant for your work.
