You're confusing the green card diversity lottery with the H-1B lottery.
There are 65,000 H-1B's available for the year (20,000 of them reserved for "advanced degree" holders), and there were over 163,000 applications within the first five days of the filing period. This year, all H-1Bs, even the 20,000 in the advanced degree block, are being assigned by lottery.
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You're confusing the green card diversity lottery with the H-1B lottery.
There are 65,000 H-1B's available for the year (20,000 of them reserved for "advanced degree" holders), and there were over 163,000 applications within the first five days of the filing period. This year, all H-1Bs, even the 20,000 in the advanced degree block, are being assigned by lottery.
There is no other way to get one.