Dual code
id:
dual-code-262-7381009
title:
Dual code
text:
In coding theory, the dual code of a linear code is the linear code defined by where is a scalar product. In linear algebra terms, the dual code is the annihilator of C with respect to the bilinear form ⟨ ⋅ ⟩ . The dimension of C and its dual always add up to the length n: A generator matrix for the dual code is the parity-check matrix for the original code and vice versa. The dual of the dual code is always the original code.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Dual_code
date created:
date modified:
2024-03-10T03:56:36Z
main entity:
{"identifier":"Q5310189","url":"https://www.wikidata.org/entity/Q5310189"}
image:
fields total:
13
integrity:
13