Failure-boosting bound built on a swapped distribution pair
Security proof gap · Demonstrated · Cause: specification text
Property: IND-CCA security
Cost against claim: designers' own bound falls to 2228.6 to 2230.0 classical, below the 2256 claim; the best costed attack stays at 2309.6
The C2 and C2* sets publish a decryption-failure rate of 2-162, but an independent convolution of the specified distributions gives 2-141.55, about 20 bits higher. With this true rate the designers' own failure-boosting method no longer establishes their claimed 256 classical bits, dropping to 2228.6 to 2230.0; the best attack anyone has costed, including the designers', still needs 2309.6 classical, so no known attack reaches the claim.
| Parameter set | Claim | Attack cost | Verdict |
|---|---|---|---|
| NEV-C2, NEV-C2* | 256 classical against failure-boosting attacks by the designers' own Table 7 method | 2228.6 to 2230.0 classical by the same method with the corrected rate; best known costed attack 2309.6 classical / 2194.8 quantum | Security proof gap |
What causes it
Table 2 (spec p.22) assigns (chi_f, chi_g) = (B1, T1/8) to C2/C2*. Table 7's own mu* (p.61) matches that assignment exactly, but its p* matches the two distributions exchanged instead: recomputing delta with (T1/8, B1) reproduces the published 2-163.1, and mu* under that swap would be 37.33, not the published 21.37. The published failure rate and Table 7 bound come from mixing the two assignments within the same table.
Evidence
An independent script re-derived delta directly from eqs. (3)-(6), written before reading the prior evaluation's code: 2-141.55 for C2 (all-0 M -141.58, all-1 M -141.53), 2-141.32 for C2*, matching the earlier evaluation to 0.01 bit; the swapped assignment reproduces the published 2-163.1/-174.5. A second pass recomputed the Table 7 bound from eqs. (32)-(34) independently, reproducing every published row exactly from the published p*, then substituting the true p* to get 228.6 to 230.0 classical / 154.3 to 155.0 quantum for C2. Re-running the prior evaluation's own scripts (failure rate, Table 7 method, explicit failure-boosting cost) gave output identical to its logs.
Cause in the specification, traced to the specification text.
Limits
The explicit failure-boosting attack, costed at 2309.6 classical and 2194.8 quantum, stays above the 2256/2128 target: this is a gap in the designers' own security argument, not a working attack below the claim.
Credit
Found by PQC-X.