solidot新版网站常见问题,请点击这里查看。

A Note on the Inheritance of the Isometry-Dual Property under Puncturing AG Codes. (arXiv:1707.04062v1 [cs.DM])

来源于:arXiv
Consider a sequence of AG codes evaluating at a set of evaluation points $P_1,\dots,P_n$ the functions having only poles at a defining point $Q$, with the sequence of codes satisfying the isometry-dual condition (i.e. containing at the same time primal and their dual codes). We prove a necessary condition under which, after taking out a number of evaluation points (i.e. puncturing), the resulting AG codes can still satisfy the isometry-dual property. The condition has to do with the so-called maximum sparse ideals of the Weierstrass semigroup of $Q$. 查看全文>>