强MDS卷积码的存在性
The Existence of Strongly-MDS Convolutional Codes
摘要：
已知最大距离可分离和最大距离轮廓卷积码存在于对于所有参数$(n,k,δ)$具有任何特性的足够大的有限域上。已经证明，对于强最大距离可分离的卷积码也是如此。使用线性系理论的方法，我们解决了这个猜想表明，在一个足够大的有限域的任何特征，代码同时存在的所有参数$(n,k,δ)$的最大距离轮廓和强烈的最大距离可分。
英文摘要：
It is known that maximum distance separable and maximum distance profile convolutional codes exist over large enough finite fields of any characteristic for all parameters $(n,k,δ)$. It has been conjectured that the same is true for convolutional codes that are strongly maximum distance separable. Using methods from linear systems theory, we resolve this conjecture by showing that, over a large enough finite field of any characteristic, codes which are simultaneously maximum distance profile and strongly maximum distance separable exist for all parameters $(n,k,δ)$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
