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OEIS A000157: Boolean functions of n variables

Author
Mike Breault
Published
Sun 09 Mar 2025
Episode Link
None

We explore A000157, the count of Boolean functions of n variables (2^(2^n)), and show how these functions can be represented by algebraic normal forms over GF(2). We’ll see how the Mobius transform translates truth tables to polynomials, and discuss connections to cryptography, coding theory, and computational complexity, illustrated with simple examples like AND and XOR.


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