RS code coder and coding method
An encoder and register technology, applied in the field of RS code encoders and encoding methods, can solve the problems of multi-chip resources, occupation, limited flexibility, etc., achieve wide adaptability, save FPGA chip resources, and realize the effect of real-time configuration
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[0041] In the following description, relevant implementation details are set forth with practical examples in order to fully understand the present invention. However, the present invention can be implemented in many other ways different from those described here, and those skilled in the art can make similar extensions without violating the connotation of the present invention, so the present invention is not limited by the specific implementations disclosed below.
[0042] According to the finite field theory, if the finite field GF(2 3 ) field polynomial is f(x)=x 3 +x+1, define α as a root of the domain polynomial, then α k , k=0,...,6 are the roots of the field polynomial, α k A total of 8 elements of 0 constitute the base of the extended field. The correspondence between the base and its binary and decimal representations is shown in the table below.
[0043] power representation
polynomial representation
binary representation
decimal representat...
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