Reed Solomon code example

1. How does Reed-Solomon code work?
2. How do you create a Reed-Solomon code?
3. How many errors can Reed-Solomon correct?
4. What is RS in code?

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.

How do you create a Reed-Solomon code?

A Reed-Solomon code is specified as RS(n,k) with s-bit symbols. This means that the encoder takes k data symbols of s bits each and adds parity symbols to make an n symbol codeword. There are n-k parity symbols of s bits each.

How many errors can Reed-Solomon correct?

The standard (255, 223) Reed-Solomon code is capable of correcting up to 16 Reed-Solomon symbol errors in each codeword. Since each symbol is actually eight bits, this means that the code can correct up to 16 short bursts of error due to the inner convolutional decoder.

What is RS in code?

Reed-Solomon (RS) codes are an important subclass of non-binary BCH codes. RS codes have a true minimum distance which is the maximum possible for a linear (n, k) code, as in Equation 14.27. They are therefore examples of maximum-distance-separable codes.