Krawtchouk Polynomial Calculator

Discrete binomial orthogonality

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K_2(1; 5, 0.5)

2.0000

K_2(x) for all x

x=010.0000

x=12.0000

x=2-2.0000

x=3-2.0000

x=42.0000

x=510.0000

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About Krawtchouk Polynomial Calculator

A Krawtchouk polynomial calculator computing K_k(x;n,p) = Σ (-1)^j·C(x,j)·C(n-x,k-j)·p^{-j}·(1-p)^{j-k}. Orthogonal with respect to the binomial distribution. Used in coding theory (MacWilliams transform), association schemes, quantum information. Client-side.

Krawtchouk Polynomial Calculator Features

K_k(x;n,p) value
Recurrence
Coding theory
Table display
Special cases

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