论文标题
部分可观测时空混沌系统的无模型预测
Minimal codewords in Norm-Trace codes
论文作者
论文摘要
在本文中，我们考虑获得的仿射代码评估多项式$ by = a_kx^k+\ dots+a_1x+a_0 $，$ b，a_i \ in \ in \ mathbb {f} _ {q^r} $，在affine $ \ f_ {q^r} $ - rationce cultion cultion cultion cultion。特别是，我们研究了重量分布和最小密码。我们的方法使用代数几何的工具，是基于对某些代数品种绝对不可约性的研究。
In this paper, we consider the affine variety codes obtained evaluating the polynomials $by=a_kx^k+\dots+a_1x+a_0$, $b,a_i\in\mathbb{F}_{q^r}$, at the affine $\F_{q^r}$-rational points of the Norm-Trace curve. In particular, we investigate the weight distribution and the set of minimal codewords. Our approach, which uses tools of algebraic geometry, is based on the study of the absolutely irreducibility of certain algebraic varieties.
