Blockstream's research team is evaluating lattice-based signature schemes to address future quantum computing threats. After comparing Dilithium, Falcon, and Hawk, the team regards Falcon-1024 as the preferred lattice-based candidate, noting that it combines compactness, verification speed, and mature security assumptions. The researchers also emphasize that deployment still faces hurdles such as incomplete standardization, hardware wallet memory requirements, and a lack of viable public key derivation schemes, while hash-based signatures remain a more conservative near-term option for Bitcoin.