Medium Access Control (MAC) and Physical Layer (PHY) - CISE

4-June-07 P1901_PRO_016_r0
3.3.1.2 Reed-Solomon Delimiter Coding
Delimiters are composed by six RS codewords from (n=12,k=8,t=2) RS code.
Four (n-k=4) parity symbols p3, p2, p1, p0 shall be appended to k=8 message symbols m7, m6, … , m0 to form a
Reed-Solomon codeword m7, m6, … , m0, p3, p2, … , p0, where symbol m7 is the first four bits symbol in time
out of the Reed-Solomon encoder. Each RS symbol is composed of four bits.
The parity symbols shall be computed from the message symbols using the Equation 5:
Where the message polynomial is:
RS ( x)
= M ( x)
x
mod g(
x)
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Equation 5
M +
7 6
( x)
= m7
x + m6x
+ ... + m1x
m0
Equation 6
The parity symbols are expressed as the following polynomial;
RS +
3 2
( x)
= p3x
+ p2x
+ p1x
p0
Equation 7
The field generator binary polynomial that generates each RS symbol is given by:
And the code generator polynomial is given by:
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f ( x)
= x + x + 1
Equation 8