<s>
In	O
information	O
theory	O
and	O
coding	B-Error_Name
theory	I-Error_Name
,	O
linear	B-Algorithm
programming	I-Algorithm
decoding	I-Algorithm
(	O
LP	B-Algorithm
decoding	I-Algorithm
)	O
is	O
a	O
decoding	O
method	O
which	O
uses	O
concepts	O
from	O
linear	B-Algorithm
programming	I-Algorithm
(	O
LP	O
)	O
theory	O
to	O
solve	O
decoding	O
problems	O
.	O
</s>
<s>
The	O
basic	O
idea	O
behind	O
LP	B-Algorithm
decoding	I-Algorithm
is	O
to	O
first	O
represent	O
the	O
maximum	O
likelihood	O
decoding	O
of	O
a	O
linear	O
code	O
as	O
an	O
integer	O
linear	B-Algorithm
program	I-Algorithm
,	O
and	O
then	O
relax	O
the	O
integrality	O
constraints	O
on	O
the	O
variables	O
into	O
linear	O
inequalities	O
.	O
</s>
