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- Hash-based cryptography is the generic term for constructions of cryptographic primitives based on the security of hash functions. It is of interest as a type of post-quantum cryptography. So far, hash-based cryptography is used to construct digital signatures schemes such as the Merkle signature scheme, zero knowledge and computationally integrity proofs, such as the zk-STARK proof system and range proofs over issued credentials via the HashWires protocol. Hash-based signature schemes combine a one-time signature scheme, such as a Lamport signature, with a Merkle tree structure. Since a one-time signature scheme key can only sign a single message securely, it is practical to combine many such keys within a single, larger structure. A Merkle tree structure is used to this end. In this hierarchical data structure, a hash function and concatenation are used repeatedly to compute tree nodes. One consideration with hash-based signature schemes is that they can only sign a limited number of messages securely, because of their use of one-time signature schemes. The US National Institute of Standards and Technology (NIST), specified that algorithms in its post-quantum cryptography competition support a minimum of 264 signatures safely. In 2022, NIST announced as one of three algorithms to be standardized for digital signatures. NIST standardized stateful hash-based cryptography based on the (XMSS) and (LMS), which are applicable in different circumstances, in 2020, but noted that the requirement to maintain state when using them makes them more difficult to implement in a way that avoids misuse. (en)
- A criptografia baseada em Hash, Hash-based cryptography (em inglês), é o termo genérico para construções de primitivas criptográficas com base na segurança das funções hash. Até agora, a criptografia baseada em hash está limitada a esquemas de assinaturas digitais, como o . Os esquemas de assinatura baseados em Hash combinam um esquema de assinatura único com uma estrutura de árvore Merkle. (pt)
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- A criptografia baseada em Hash, Hash-based cryptography (em inglês), é o termo genérico para construções de primitivas criptográficas com base na segurança das funções hash. Até agora, a criptografia baseada em hash está limitada a esquemas de assinaturas digitais, como o . Os esquemas de assinatura baseados em Hash combinam um esquema de assinatura único com uma estrutura de árvore Merkle. (pt)
- Hash-based cryptography is the generic term for constructions of cryptographic primitives based on the security of hash functions. It is of interest as a type of post-quantum cryptography. So far, hash-based cryptography is used to construct digital signatures schemes such as the Merkle signature scheme, zero knowledge and computationally integrity proofs, such as the zk-STARK proof system and range proofs over issued credentials via the HashWires protocol. Hash-based signature schemes combine a one-time signature scheme, such as a Lamport signature, with a Merkle tree structure. Since a one-time signature scheme key can only sign a single message securely, it is practical to combine many such keys within a single, larger structure. A Merkle tree structure is used to this end. In this hie (en)
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- Hash-based cryptography (en)
- Criptografia baseada em Hash (pt)
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