An IND-CCA2 Attack Against the 1st- and 2nd-round Versions of NTS-KEM.

This paper presents an IND-CCA2 attack against the 1st- and 2nd-round versions of NTS-KEM, i.e., the versions before the update in December 2019. Our attack works against the 1st- and 2nd-round specifications, with a number of decapsulation queries upper-bounded by \(n-k\) and an advantage lower-bounded by roughly \(0.5(n-k)t/n^2\), where n, k, and t stand for the code length, code dimension, and the designed decoding capacity, for all the three parameter sets of NTS-KEM. We found that the non-reference implementations are also vulnerable to our attack, even though there are bugs. There are also bugs in the reference implementations, but in a way invulnerable to our attack.