Finding Normal Integral Bases of Cyclic Number Fields of Prime Degree
Finding Normal Integral Bases of Cyclic Number Fields of Prime Degree
复制标题
求质次循环数域的正规积分基
DOI：
10.1006/jsco.1999.0335
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
C. Fieker
中科院分区：
文献类型：
--
作者：
V. Acciaro;C. Fieker
设L是素数度p的循环数域，本文研究了如何有效地计算L的正规积分基，如果至少有一个，假设一个积分基？因为L是已知的。我们把问题归结为求p阶分圆域中主理想的生成元的问题。
Let L be a cyclic number field of prime degree p. In this paper we study how to compute efficiently a normal integral basis for L, if there is at least one, assuming that an integral basis? for L is known. We reduce our problem to the problem of finding the generator of a principal ideal in thep th cyclotomic field.