On asymptotically good families of classical and quantum LDPC codes

In this work it is shown that there exists an asymptotically good family of quantum LDPC codes, which proves the qLDPC conjecture. We also show that there exists an asymptotically good family of classical locally testable codes with constant query and soundness parameters, which also gives a positive solution of a well-known conjecture in the field of classical locally testable codes.