Srivastava code

Srivastava codes, formulated by Professor , form a class of parameterised error-correcting codes which are a special case of alternant codes.

Definition

The original Srivastava code over GF(q) of length n is defined by a parity check matrix H of form

begin{bmatrix} frac{alpha_1^mu}{alpha_1-w_1} & cdots & frac{alpha_n^mu}{alpha_n-w_1} \ vdots & ddots & vdots frac{alpha_1^mu}{alpha_1-w_s} & cdots & frac{alpha_n^mu}{alpha_n-w_s} \ end{bmatrix}where the α_i and z_i are elements of GF(q^m)

Properties

The parameters of this code are length n, dimension ≥ n − ms and minimum distance ≥ s + 1.

Source

http://wikipedia.org/

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