The Reed-Solomon code $RS(2, 4)$ has length $n = 4$, dimension $k = 2$, and minimum distance $d = 3$.
: Exploration of Sudan's algorithm for list decoding and syndrome decoding. Mathematical Bounds
Tip: For small codes list all sums to verify linearity; relate weight distribution to distance.
Using linear algebra (generator and parity-check matrices) to build codes. Cyclic Codes:
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