Make BN_num_bits() consttime upon BN_FLG_CONSTTIME
This issue was partially addressed by commit 972c87df , which hardened its callee BN_num_bits_word() to avoid leaking the most-significant word of its argument via branching and memory access pattern. The commit message also reported: > There are a few places where BN_num_bits is called on an input where > the bit length is also secret. This does *not* fully resolve those > cases as we still only look at the top word. BN_num_bits() is called directly or indirectly (e.g., through BN_num_bytes() or BN_bn2binpad() ) in various parts of the `crypto/ec` code, notably in all the currently supported implementations of scalar multiplication (in the generic path through ec_scalar_mul_ladder() as well as in dedicated methods like ecp_nistp{224,256,521}.c and ecp_nistz256.c). Under the right conditions, a motivated SCA attacker could retrieve the secret bitlength of a secret nonce through this vulnerability, potentially leading, ultimately, to recover a long-term secret key. With this commit, exclusively for BIGNUMs that are flagged with BN_FLG_CONSTTIME, instead of accessing only bn->top, all the limbs of the BIGNUM are accessed up to bn->dmax and bitwise masking is used to avoid branching. Memory access pattern still leaks bn->dmax, the size of the lazily allocated buffer for representing the BIGNUM, which is inevitable with the current BIGNUM architecture: reading past bn->dmax would be an out-of-bound read. As such, it's the caller responsibility to ensure that bn->dmax does not leak secret information, by explicitly expanding the internal BIGNUM buffer to a public value sufficient to avoid any lazy reallocation while manipulating it: this should be already done at the top level alongside setting the BN_FLG_CONSTTIME. Thanks to David Schrammel and Samuel Weiser for reporting this issue through responsible disclosure. Reviewed-by: Matt Caswell <matt@openssl.org> Reviewed-by: Bernd Edlinger <bernd.edlinger@hotmail.de> (Merged from https://github.com/openssl/openssl/pull/9511) (cherry picked from commit 8b44198b916015f77bef1befa26edb48ad8a0238)
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