He also dismissed as "mere speculations" reports about the modus operandi of the assailants and the type of weapons used to kill 55-year old Gauri, who was shot dead at her residence by unidentified assailants on the night of September 5.
"The investigation is going on into Gauri Lankesh's killing. You have to wait and I am also waiting for something substantial from investigation. We (state government) don't interfere in SIT probe. Nothing has been revealed so far. Reports appearing in media are mere speculations," Reddy told reporters after a cabinet meeting here.
The Karnataka government has formed a Special Investigation Team (SIT) to probe the coldblooded killing that has caused nationwide outrage and protests.
On September 10, Reddy had said SIT had gathered "some clues" in connection with the case. The government also announced a reward of Rs 10 lakh to anyone providing clues.
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The media has been speculating about the modus operandi of the crime committed by assailants, and type of weapons used to kill Lankesh. There were also reports of the Andhra Pradesh Police forming a special team to assist the Karnataka Police.
Reacting to the reports, Investigating Officer M N Anucheth told PTI that there was no substance in them.
"I can only say, there is no substance in such media reports. When there is something concrete, we would certainly brief the media," he said.