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：子空间代码是Hamming 标准中的二元区块代码的 $q- analog 。 这里的代码是有限域的矢量空间。 它们有随机线性网络编码、分布式存储和加密的应用。 在本章中, 我们调查已知的构造和子空间代码的上限 。