Aberhart - who survived a bombing in Pakistan in 2002 while coach of the Black Caps - was not able to disclose what they were, but told the Herald on Sunday: "I know all the places where they're playing games for the World Cup, security is at the forefront and they've got strategies in place."
Next year is the 11th Cricket World Cup, with 27 matches shared across seven New Zealand cities. The tournament will be broadcast to more than 180 counties and organisers expect a global television audience of more than one billion.
Canterbury Cricket's new home at the revamped Hagley Oval will host three games, including the February 14 tournament opener between the Black Caps and Sri Lanka.
Aberhart said security had been at the forefront of negotiations with the ICC in order to secure the games.
ICC security experts had been to the stadium twice in the past two weeks, including on Friday. Officials from Auckland's Eden Park and Wellington's Westpac Stadium confirmed they had also been the subject of several security reviews, but neither had been asked to make any upgrades in recent weeks.
Sean Murray, general manager of events and economic development for Hamilton City Council, said security measures being taken at the city's Seddon Park were "not out of the ordinary".
The Herald on Sunday could not contact officials from Napier's McLean Park and Nelson's Saxton Oval for comment.
Ross Dykes, chief executive of Otago Cricket, referred all comment about Dunedin's University Oval to the ICC.
A Cricket World Cup spokesperson said the safety of everyone involved in the event - whether players, officials, VIPs or spectators - was the sporting body's top priority.
"We have been working with the authorities in Australia and New Zealand for more than two years on these matters and will continue to do so," the spokesperson said.
It was a stance backed by Aberhart, who was still troubled by memories of the aftermath of the suicide bomb attack at the hotel where the Black Caps were staying in Karachi in 2002.
The attack - which killed 11 people - took place near the hotel lobby, just five minutes before the national cricket team were due to board their team bus. "Loud noises make you jump and things, it's something you don't forget," he said.
Sport and Recreation Minister Jonathan Coleman said: "New Zealand Government agencies are working with cricket and Government authorities both here and abroad to ensure that any potential security incidents, however remote or unlikely, are anticipated and mitigated in line with expert advice."
Former cricket international and Rugby World Cup 2011 boss Martin Snedden said although he believed New Zealand was at low risk of a terror attack, nobody could take anything for granted.
Speaking from his experience of overseeing the RWC, he said cricket officials would be making plans for what to do in the event of there being any problems.
In the lead-up to the RWC, he said, tournament planners created numerous scenarios and tested them three times to perfect responses.
At this year's Sochi Winter Olympics, 40,000 police and armed services personnel provided security for the event.
The London 2012 Olympics saw the UK's biggest mobilisation of military and security forces since World War II, the Guardian reported.
The ICC has put up a provisional list of banned items, which includes glass bottles, whistles, banners, placards, cameras and long flag sticks.
