# Category:Definitions/Linear Codes

This category contains definitions related to Linear Codes.
Related results can be found in Category:Linear Codes.

Let $p$ be a prime number.

Let $\Z_p$ be the set of residue classes modulo $p$.

Let $\map V {n, p}$ denote the set of sequences of length $n$ of elements of $\Z_p$.

A linear $\tuple {n, k}$-code is a $k$-dimensional subspace $C$ of $\map V {n, p}$ considered as a vector space over $\Z_p$ of $n$ dimensions.

## Subcategories

This category has only the following subcategory.

## Pages in category "Definitions/Linear Codes"

The following 14 pages are in this category, out of 14 total.