# Possibility of applying a homomorphic MAC on vectors

The basic idea of homomorphic MACs is that a user can use a secret key to generate a set of tags $$σ_1 \dots σ_n$$ authenticating values $$D_1 \dots D_n$$ respectively. so, anyone can homomorphically execute a program $$P$$ over $$(σ_1 \dots σ_n)$$ to generate a short tag σ that authenticates $$m$$ as the output of $$P(m_1 \dots m_n)$$. The authentication tag of a message $$m \in Z^p$$ is a degree-1 polynomial $$y(z)$$.

Could this tag be generated for message expressed as vector of $$n$$ scalars?

• Please review your post before hitting the final button, there was a clear mistake in the title. We've got MathJax / $\LaTeX$ support on this site to help you format your questions (take a look at the edits). – Maarten Bodewes Sep 4 '19 at 14:18