Subspace codes are the $q$-analog of binary block codes in the Hamming metric. Here the codewords are vector spaces over a finite field. They have e.g. applications in random linear network coding, distributed storage, and cryptography. In this chapter we survey known constructions and upper bounds for subspace codes.
翻译:子空间码是汉明度量下二进制分组码的$q$-模拟。其码字为有限域上的向量空间,在随机线性网络编码、分布式存储和密码学等领域具有应用。本章系统综述了子空间码的已知构造方法与上界。