Non-symmetric 2-designs modulo 2 |
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Authors: | Chris M Skinner |
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Institution: | (1) Department of Mathematics, University of Michigan, 48109 Ann Arbor, MI |
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Abstract: | Necessary conditions are obtained for the existence of a 2 – (v, k, ) design, for which the block intersection sizess
1,s
2, ...,s
n
satisfys
1 s
2 ... s
n
s (mod 2
e
), wheree is odd. These conditions are obtained by combining restrictions on the Smith Normal Form of the incidence matrix of the design with some well known properties of self-orthogonal binary codes with all weights divisible by 4.Research done at AT&T Bell Laboratories. |
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Keywords: | |
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