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A familly of orthogonal polynomials is a sequence of polynomials in one variable, one in each degree, such that any two of them are orthogonal with respect to some fixed scalar product on the space of polynomials. They are closely related to continued fractions and useful in harmonic analysis. There are many different families of orthogonal polynomials, among which one can cite Hermite polynomials, Laguerre polynomials, and Jacobi polynomials.

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MacWilliams Identity for Asymptotic Weight Spectrum of a Code

The problem might be attackable in a different way. Since the parity check of a code (from a LDPC family) has constant row and column weight, we maybe able to lower bound the number of vectors of a pa …
Pavithran Iyer's user avatar