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Determination of (2,5) group code function e_H: B^2 --> B^5

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Coding of Binary Information and Error Detection (XVIII)
Boolean Matrices

Let H = [ 0 1 1; 0 1 1; 1 0 0; 0 1 0; 0 0 1 ] be a charity matrix.
Determine the (2,5) group code function e_H: B^2 --> B^5.

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