Abstract Algebra: Theory and Applications · Problem 22.4.10

Galois Theory — Thomas Judson

Mathematics — Abstract Algebra · finite-fields-cyclic-codes

Problem

Prove that the ideal ⟨t+1⟩\langle t + 1 \rangle in RnR_n is the code in Z2n\mathbb{Z}_2^n consisting of all words of even parity.

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