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Table 1 Addition and multiplication on GF(22)

From: Perfect Hamming code with a hash table for faster genome mapping

+ 0 1 α α 2   × 0 1 α α 2
0 0 1 α α 2   0 0 0 0 0
1 1 0 α 2 α   1 0 1 α α 2
α α α 2 0 1   α 0 α α 2 1
α 2 α 2 α 1 0   α 2 0 α 2 1 α