Which of the following statement is correct? C

A$.$ Even parity check achieves error detection of even number of errors.

B$.$ A single$-$bit parity check achieves error detection of all even number of errors.

C$.$ The $(5,1)$ repetition code can correct all $2-$bit errors.

D$.$ Given a series of input bit sequence: $110011,$ suppose a $(3,1)$ repetition code

is used $($i$.$e$.1$ bit for input and $2$ bit for the duplication$),$ the encoded bit

sequence is $110011110011110011.$

E$.$ For a $(3,1)$ repetition code, if the received sequence is $110100010011,$ the

decoded bit sequence is $1011.$