Linear code

A code of fixed length $n$ over a finite field $F$ which forms a subspace of the vector space $F^n$.

See Error-correcting code.

References

• Goldie, Charles M.; Pinch, Richard G.E. Communication theory, London Mathematical Society Student Texts. 20 Cambridge University Press (1991) ISBN 0-521-40456-8 Zbl 0746.94001
• van Lint, J.H., "Introduction to coding theory" (2nd ed.) Graduate Texts in Mathematics 86 Springer (1992) ISBN 3-540-54894-7 Zbl 0747.94018