In mathematics and computer science, a balanced boolean function is a boolean function whose output yields as many 0s as 1s over its input set. This means that for a uniformly random input string of bits, the probability of getting a 1 is 1/2.

This article relies largely or entirely on a single source. (April 2024)

Examples of balanced boolean functions are the function that copies the first bit of its input to the output, and the function that produces the exclusive or of the input bits.

Balanced boolean functions are primarily used in cryptography. If a function is not balanced, it will have a statistical bias, making it subject to cryptanalysis such as the correlation attack.

• Bent function

• Balanced boolean functions that can be evaluated so that every input bit is unlikely to be read, Annual ACM Symposium on Theory of Computing

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