On the construction of irreducible self-reciprocal polynomials over finite fields
On the construction of irreducible self-reciprocal polynomials over finite fields
复制标题
有限域上不可约自倒多项式的构造
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
H. Meyn
中科院分区：
文献类型：
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作者：
H. Meyn
变换f（x）<$fQx <$deg（f）f（x + 1/x）对f（x）∈
$$mathbb{F}_q [x]$$
研究了简单的标准给出的情况下，不可归约的关闭是由自互多项式fQ继承。通过这个Q变换的迭代，构造了无限列的不可约自反多项式。
AbstractThe transformationf(x)↦fQx≔deg(f)f(x + 1/x) for f(x)∈
$$mathbb{F}_q [x]$$
is studied. Simple criteria are given for the case that the irreducibility off is inherited by the self-reciprocal polynomialfQ. Infinite sequences of irreducible self-reciprocal polynomials are constructed by iteration of thisQ-transformation.