✦ LIBER ✦

Constructing 3-designs from spreads and lines

✍ Scribed by Luigia Berardi

No coin nor oath required. For personal study only.

✦ Synopsis

Using the elements of a partial spread of PG(d, q) as points, a class of 3-designs is constructed. 9) is a 3-(qr+' + 1, q + 1, 0,) design.

Corollary 3. If Sp is a (total) t-spread of P = PG(2t + 1, q), then D(

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