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Z_2^(5x5) might be a better description (or, better, 5x5 matrices of binaries)

Or "5x5 bit matrices".

Something like ℤ₂⁵×⁵?

The multipication sign should be in superscript, but unforunately there's no suitable Unicode character… unless we abuse IPA:

ℤ₂⁵ˣ⁵

Might be abuse of IPA, but 100% stealing this trick for platforms that don’t let me use LaTeX

How?!?

%u2124%u2082%u2075%u02E3%u2075

"Modifier Letter Small X"

Let's try to avoid this by cutting that bit.

Someone will soon point out why that doesn't work, but in the meantime we may gain a few minutes...