In coding theory, a linear code is an error correcting code which is linear, in that it is a linear subspace of a vector space over a finite field . Specifically a binary linear code is a linear code over .
A linear code is a linear subspace of a vector space of finite dimension over a prime field , i.e. a vector space isomorphic to , for some prime number (often ). The dimension of the vector space is also called the length of the linear code.
Patrick 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)
See also:
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