SYDNEY — Australia’s most populous state is reporting a new daily high of 356 coronavirus infections.

The New South Wales government also reported four more COVID-19 deaths Tuesday. The death toll since the latest outbreak was detected in Sydney in mid-June is now 32. One of the latest deaths is a man in his 80s who was infected overseas, while the rest caught the virus locally.

More than 80% of the state’s 8.2 million people are in lockdown, including the greater Sydney region. The Sydney lockdown began June 26, and hopes are fading that restrictions will be eased as planned on Aug. 28.

Only 22% of Australian adults had been fully vaccinated by Monday. Officials hope that by getting the number above 70% will enable restrictions to be eased even if the virus is continuing to spread.