Frank R. Kschischang, Mohannad Shehadeh, Umberto Martínez-Peñas
Hamming distance and rank metric have long been used in coding theory. The sum-rank metric naturally extends these over fields. They have attracted significant attention for their applications in distributed storage systems, multishot network coding, streaming over erasure channels, and multi-antenna wireless communication. In this monograph, the authors provide a tutorial introduction to the theory and applications of sum-rank metric codes over finite fields. At the heart of the monograph is the construction of linearized Reed–Solomon codes, a general construction of maximum sum-rank...
Hamming distance and rank metric have long been used in coding theory. The sum-rank metric naturally extends these over fields. They have attracted si...