<s>
Binary	O
Reed	B-Error_Name
–	I-Error_Name
Solomon	I-Error_Name
coding	O
(	O
BRS	O
)	O
,	O
which	O
belongs	O
to	O
a	O
RS	B-Error_Name
code	I-Error_Name
,	O
is	O
a	O
way	O
of	O
encoding	O
that	O
can	O
fix	O
node	O
data	O
loss	O
in	O
a	O
distributed	O
storage	O
environment	O
.	O
</s>
<s>
It	O
has	O
maximum	B-General_Concept
distance	I-General_Concept
separable	I-General_Concept
(	O
MDS	O
)	O
encoding	O
properties	O
.	O
</s>
<s>
Its	O
encoding	O
and	O
decoding	O
rate	O
outperforms	O
conventional	O
RS	B-Error_Name
coding	I-Error_Name
and	O
optimum	O
CRS	O
coding	O
.	O
</s>
<s>
RS	B-Error_Name
coding	I-Error_Name
is	O
a	O
fault-tolerant	O
encoding	O
method	O
for	O
a	O
distributed	O
storage	O
environment	O
.	O
</s>
<s>
Suppose	O
we	O
wish	O
to	O
distribute	O
data	O
across	O
individual	O
devices	O
for	O
improved	O
storage	O
capacity	O
or	O
bandwidth	O
,	O
for	O
example	O
in	O
a	O
hardware	O
RAID	B-Architecture
setup	O
.	O
</s>
<s>
The	O
Reed-Solomon	B-Error_Name
encoding	O
produces	O
a	O
storage	O
coding	O
system	O
which	O
robust	O
to	O
the	O
simultaneous	O
failure	O
of	O
any	O
subset	O
of	O
nodes	O
.	O
</s>
<s>
Because	O
BRS	O
encoding	O
and	O
decoding	O
employ	O
only	O
shift	O
and	O
XOR	O
operations	O
,	O
they	O
are	O
much	O
faster	O
than	O
traditional	O
RS	B-Error_Name
coding	I-Error_Name
.	O
</s>
<s>
The	O
structure	O
of	O
traditional	O
Reed	B-Error_Name
–	I-Error_Name
Solomon	I-Error_Name
codes	I-Error_Name
is	O
based	O
on	O
finite	O
fields	O
,	O
and	O
the	O
BRS	O
code	O
is	O
based	O
on	O
the	O
shift	O
and	O
XOR	O
operation	O
.	O
</s>
<s>
There	O
are	O
open	O
source	O
codes	O
to	O
implement	O
BRS	O
encoding	O
written	O
in	O
C	B-Language
and	O
available	O
on	O
GitHub	B-Application
.	O
</s>
