We provide a concise introduction to CSS and CSS-T codes from the
perspective of classical coding theory. We demonstrate that pairs of
linear codes that yield a CSS code with good correction capability can
be easily produced using a randomized construction when the cardinality
of the base field is sufficiently large. Next, we prove that CSS-T codes
exhibit the opposite behavior, showing that, under very natural
assumptions, their rate and relative distance cannot be simultaneously
large.
We conclude with a simple construction of CSS-T codes derived from
Hermitian curves. This is joint work with Elena Berardini and Alberto
Ravagnani.
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