On April 13, 2015, USCIS announced that it finished the computer-generated random selection process, or lottery, to select petitions to meet the FY2016 cap. USCIS stated it will begin premium processing for H-1B cap cases no later than May 11, 2015. USCIS noted that it received nearly 233,000 H-1B petitions during the FY2016 filing period. Please see announcement here.
USCIS will begin to issue filing receipts to employers whose petitions were chosen. Premium processing receipts will come first by email, and could begin in as soon as a few days. Receipts for non-premium cases should begin in the coming weeks, with receipting continuing for several weeks thereafter.
Adjudication of premium cases will begin no later than May 11, 2015 as announced by USCIS last month.