In a submission to the ongoing inquiry into the law, which was passed by Parliament on 6 December, the AFP said these TARs were sought to support ongoing investigations into what it called "serious Commonwealth crime".
The Home Affairs Department, in a submission to the same inquiry, has said the new powers in what is officially known as the Telecommunications and Other Legislation Amendment (Assistance and Access) Act 2018 — which is being referred to as the TOLA Act — were already being used by law enforcement and national security agencies to support their work.
Under the law, companies will be initially requested to co-operate with law enforcement; if they do not, the pressure will be stepped up to force them to help.
Next, an interception agency can issue a technical assistance notice or TAN to make a communications provider offer assistance.
Finally, a technical capability notice or TCN can be issued by the Attorney-General at the request of an interception agency. This will have to be also approved by the Communications Minister and will force a company to help law enforcement, by building functionality.
However a TCN cannot demand the decryption of information or removal of electronic protection in any system.
"The AFP continues to ensure we have explored less intrusive options for our current active investigations before application for a computer access warrant," the submission said.
"Computer access warrants are necessary and the ability to escalate to this level of access is critical to operational effectiveness.
"However, the AFP takes the application of such intrusive powers very seriously and with due consideration. These warrants will be used in a very measured and considered way."
The submission also said the AFP did not wish to be the authority to approve or disapprove the issuing of TANs by state and territory police forces. Rather, the AFP said, it preferred a co-ordinating role in the issuing of these notices by the state and territory forces.
The new review has asked for submissions and will submit a report by 3 April.