$6\mathrm{.}2-1.$ Two dimensional parity. Which of the following statements is true about a two$-$dimensional parity check $(2$D$-$parity$)$ computed over a payload?

$2$D$-$parity can detect any case of a single bit flip in the payload.

$2$D$-$parity can detect and correct any case of a single bit flip in the payload.

$2$D$-$parity can detect any case of two bit flips in the payload.

$2$D$-$parity can detect and correct any case of two bit flips in the payload.