engleski

On Hadamard (35, 17, 8) Designs and Their Automorphism Groups

We have classified all symmetric Hadamard (35, 17, 8)-designs admitting automorphism groups of order 17, 7, 5, or cyclic automorphism groups of order 6. Also, we have constructed all Hadamard (35, 17, 8)-designs with an automorphism of order 3 having 8 fixed points and Hadamard (35, 17, 8)-designs admitting a standard action of an automorphism of order 4. The full automorphism groups of the designs obtained have been studied.

symmetric design; Hadamard design; automorphism group

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