A public-law relationship refers to the right-duty relationship between a government office and an individual as applied to a specific case or event in accordance with legal norms in public law.
https://tcb.judicial.gov.tw/en/np-2207-072.html


Public law is the part of law that governs relations and affairs between legal persons and a government,[1] between different institutions within a state, between different branches of governments,[2] as well as relationships between persons that are of direct concern to society. Public law comprises constitutional law, administrative law, tax law and criminal law,[1] as well as all procedural law. Laws concerning relationships between individuals belong to private law.
https://en.wikipedia.org/wiki/Public_law

https://www.almaany.com/ar/dict/ar-en/public-law/