nLab
linear code

Contents

Contents

Idea

In coding theory, a linear code is a linear subspace of a vector space of finite dimension dd over a prime field 𝔽 p\mathbb{F}_p, i.e. a vector space isomorphic to (𝔽 p) d(\mathbb{F}_p)^d, for some prime number pp (often p=2p = 2). The dimension dd of the vector space is also called the length of the linear code.

Examples

References

  • Patrick J. Morandi, Error Correcting Codes and Algebraic Curves , lecture notes New Mexico State University 2001. (pdf)

  • Jay A. Wood, Spinor groups and algebraic coding theory , J.Combinatorial Th. Series A 51 (1989) pp.277-313. (available online)

Last revised on February 13, 2017 at 15:39:32. See the history of this page for a list of all contributions to it.