Abstract Algebra: Theory and Applications · Problem 22.4.11

Galois Theory — Thomas Judson

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

Problem

Construct all BCH codes of (a) length 7. (b) length 15. Hint. (a) Use the fact that x7−1=(x+1)(x3+x+1)(x3+x2+1)x^7 - 1 = (x+1)(x^3 + x + 1)(x^3 + x^2 + 1).

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