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ADA 
ETH Cardano founder Hodginson refutes Butlin's warning about lattice cryptography
On October 9, Cardano founder Charles Hoskinson dismissed a warning from Ethereum co-founder Vitalik Buterin. Butrin has previously pointed out that artificial intelligence-accelerated mathematical research could weaken lattice-based cryptography security. The core of the debate is: Does Ethereum's roadmap, which relies solely on hashes, really have a stronger evidence base than the lattice scheme it avoids? Hodginson believes this is not the case.
Challenging Buterin's opposition to lattice cryptography
In a long article released by Platform X, Hawkinson questioned the mathematical logic behind Buterin's early warnings. He pointed out that Buterin did not propose any credible attack method to prove that it could break the grid-based cryptography system.
"The arguments against lattice cryptography are mainly based on the story of GNFS (Universal Number Field Sieve), an intuitive guess about 'structure' and a fabricated multiplier factor." Hawkinson wrote.
Butrin's argument draws on the history of integer decomposition. Decades of research have given birth to the Universal Number Field Sieve Method (GNFS), making the decomposition of large numbers far more efficient than originally expected. According to his view, artificial intelligence may find similar shortcuts for lattice problems, forcing developers to significantly increase the size of cryptographic parameters.
In response, Hodginson countered that lattice cryptography has been attacked for decades, including the 1982 LLL algorithm attack and subsequent further optimizations of lattice sieve methods. He also pointed out that two post-quantum cryptographic systems-ML-KEM and ML-DSA-have fully considered these attack risks in their design.
In addition, Hawkinson challenged Buterin's claim that hash cryptography is inherently more secure due to the lack of available mathematical structures. He noticed that both MD5 and SHA-1 had been compromised due to internal design flaws. At the same time, the Poseidon and Poseidon2 hash functions are used in Ethereum cryptography research, which are based on algebraic operations and have also attracted research attention in the field of cryptanalysis.
"SHA-256 does not provide such a theoretical guarantee. Its security is only that it has not yet been breached." Hodgson argued that he refuted the view that hash-based systems deserved more trust because no successful attack had yet occurred.
Hodgson further rejected Buterin's proposal to multiply the size of the lattice-based key by ten times. In his view, parameter selection requires calculation for specific attack costs, rather than a unified multiplier factor based on hypothetical breakthroughs.
Ethereum roadmap faces cryptographic trade-offs
As previously reported, Buterin advises users not to rush to transfer funds from wallets based on ECDSA (Elliptic Curve Digital Signature Algorithm), while warning that artificial intelligence-assisted mathematical advances could threaten existing cryptographic assumptions sooner than expected.
Ethereum's streamlined roadmap increasingly favors hash-based signature schemes, such as WOTS and SPHINCS+, which are preferred in applicable scenarios. However, Buterin also admitted that public-key encryption is a more difficult issue to solve because secure communications, websites, VPNs and privacy protocols require mechanisms that hashes alone cannot provide.
But in Hawkinson's view, abandoning grid-based systems before specific attacks occur may be counterproductive. He pointed out that existing security research and standardization processes should be relied on to assess new threats, rather than abandoning the entire cryptography family based on speculation.
