# Association schemes, orthogonal arrays and codes from non-degenerate quadrics and hermitian varieties in finite projective geometries

##### References

525 citations

### "Association schemes, orthogonal arr..." refers background in this paper

...The relations of these codes to orthogonal arrays and difference sets are described in Calderbank and Kantor (1986), and Chakravarti (1990)....

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285 citations

### "Association schemes, orthogonal arr..." refers background in this paper

...An answer to the question "when is the restriction of the Hamming Association schemes to a code C itself an association scheme ?" has been provided by Delsarte (1973) for linear codes....

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278 citations

### "Association schemes, orthogonal arr..." refers background in this paper

...No three columns of Mare linearly dependent and hence taking all linear combinations of the coordinate vectors w~ get an orthogonal array OA(s 8 , s + 2, s, 3) of strength 3 and index unity (Bose and Bush, 1952). This is also a maximum distance separable code C with n=s+2, k=3, d=n- k + 1 = s (see for instance, MacWilliams and Sloane (1977))....

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...No three columns of Mare linearly dependent and hence taking all linear combinations of the coordinate vectors w~ get an orthogonal array OA(s 8 , s + 2, s, 3) of strength 3 and index unity (Bose and Bush, 1952)....

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250 citations

^{1}, Andrew Odlyzko

^{1}, Neil J. A. Sloane

^{1}, Harold N. Ward

^{2}•Institutions (2)

161 citations