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Is Reed Solomon a block code?
Reed Solomon codes are a subset of BCH codes and are linear block codes. A Reed-Solomon code is specified as RS(n,k) with s-bit symbols.
How does Reed-Solomon code work?
Reed–Solomon codes are able to detect and correct multiple symbol errors. By adding t = n − k check symbols to the data, a Reed–Solomon code can detect (but not correct) any combination of up to t erroneous symbols, or locate and correct up to ⌊t/2⌋ erroneous symbols at unknown locations.
What is the error correction capability of an RS 204 188 coder?
In this case, n is 204 symbols and k is 188 symbols, and a symbol represents 8 bits. This means that 16 check symbols are appended to the information bytes. This code allows up to 8 symbols of data to be corrupted and still be corrected, that is a total of 64 bits.
How does Reed Solomon error correction work?
Reed-Solomon error correction is a forward error correction code. It works by oversampling a polynomial constructed from the data. The polynomial is evaluated at several points, and these values are sent or recorded. Sampling the polynomial more often than is necessary makes the polynomial over-determined.
What is the purpose of a Reed Solomon Decoder?
A Reed-Solomon decoder attempts to identify the position and magnitude of up to t errors (or 2t erasures) and to correct the errors or erasures. This is a similar calculation to parity calculation. A Reed-Solomon codeword has 2t syndromes that depend only on errors (not on the transmitted code word).
Which is the 2T parity symbol in Reed Solomon?
The 2t parity symbols in a systematic Reed-Solomon codeword are given by: The following diagram shows an architecture for a systematic RS (255,249) encoder: Each of the 6 registers holds a symbol (8 bits). The arithmetic operators carry out finite field addition or multiplication on a complete symbol.
How are the syndromes of Reed Solomon calculated?
A Reed-Solomon codeword has 2t syndromes that depend only on errors (not on the transmitted code word). The syndromes can be calculated by substituting the 2t roots of the generator polynomial g (x) into r (x). This involves solving simultaneous equations with t unknowns. Several fast algorithms are available to do this.