Stuff understands he is fighting the restrictions he has during his life imprisonment, on human rights grounds.
On Thursday, Justice Venning adjourned the proceedings without a next call date with leave for the gunman or the Crown to seek leave to have it relisted.
In a minute issued after the hearing, Justice Venning said the gunman had penned a letter to the court on February 27 raising two potential issues for judicial review including his listing as a terrorist entity and decisions by Corrections over his access to news and mail.
The judge said those issues could form the basis of judicial review proceedings but would need to be properly and formally pleased so the Crown can properly respond to the claims.