We present a code-based public-key cryptosystem, in which we use Reed-Solomon codes over an extension field as secret codes and disguise it by considering its shortened expanded code over the base field. Considering shortened expanded codes provides a safeguard against distinguisher attacks based on the Schur product. Moreover, without using a cyclic or a quasi-cyclic structure we obtain a key size reduction of nearly $ 45 \% $ compared to the classic {McE}liece cryptosystem proposed by Bernstein et al.

中文翻译：

---

基于扩展的Reed-Solomon码的加密方案

我们提出了一种基于代码的公共密钥密码系统，其中，我们在扩展字段上使用Reed-Solomon码作为密码，并通过考虑在基础字段上缩短的扩展代码来伪装它。考虑缩短的扩展代码可提供针对Schur产品的区分符攻击的保护措施。而且，与伯恩斯坦等人提出的经典{McE} liece密码系统相比，在不使用循环或准循环结构的情况下，密钥大小减少了近$ 45 \％$ 。