'Within 10 days of this horrific act of terrorism we will have announced reforms which will, I believe, make our community safer, ' she said today.
Erdogan also displayed extracts from a "manifesto" posted online by the attacker and later taken down.
On Friday, Erdogan said the suspected gunman had "targeted our country, our nation and myself". Turkey's largest city, Istanbul, with its Muslim majority is split between an Asian part east of the Bosphorus, and a European half to the west.
At a rally on Monday Erdogan said: "You will not turn Istanbul into Constantinople", referring to the city's name under Christian Byzantine rulers before being conquered in 1452 by Muslim Ottomans. "If you come as well like your grandfathers, be sure that you will be gone like your grandfathers".
"First and foremost, it will be an opportunity to mark our appreciation for the sympathy and support of Indonesia and other countries in the region and update them on how this country is responding", Peters said.
That earned a rebuke from New Zealand Foreign Minister Winston Peters, who said he told Turkey's foreign minister and vice president that showing the video could endanger New Zealanders overseas. He has cast the local elections as a "matter of survival" in the face of threats including Kurdish militants and attacks on Muslims such as the New Zealand shootings.
Turkish relations with New Zealand have generally been good, strengthened by Gallipoli commemorations which emphasize shared sacrifices in battle as much as the confrontation itself.
All around the world many leaders opted a more compassionate approach and stood in solidarity with the victims, some leaders used their Islamophobia and rise in Islamic migration to justify the attack, However, Turkey's President Recep Tayyip Erdogan chose a very different approach in which he used the video the shooter made (while murdering the victims) as an election booster.
Tarrant visited Turkey at least twice in the past few years, Turkish officials said. He said Turkish authorities were investigating his visits and his contacts.