Merkle signature scheme tree expansion
US-10608824-B1 · Mar 31, 2020 · US
US11770262B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-11770262-B2 |
| Application number | US-202217568919-A |
| Country | US |
| Kind code | B2 |
| Filing date | Jan 5, 2022 |
| Priority date | Jun 28, 2019 |
| Publication date | Sep 26, 2023 |
| Grant date | Sep 26, 2023 |
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In one example an apparatus comprises a computer-readable memory, signature logic to compute a message hash of an input message using a secure hash algorithm, process the message hash to generate an array of secret key components for the input message, apply a hash chain function to the array of secret key components to generate an array of signature components, the hash chain function comprising a series of even-index hash chains and a series of odd-index hash chains, wherein the even-index hash chains and the odd-index hash chains generate a plurality of intermediate node values and a one-time public key component between the secret key components and the signature components and store at least some of the intermediate node values in the computer-readable memory for use in one or more subsequent signature operations. Other examples may be described.
Opening claim text (preview).
What is claimed is: 1. An apparatus, comprising a hardware processor to: compute a message hash of an input message using a secure hash algorithm; process the message hash to generate an array of secret key components for the input message; apply a hash chain function to the array of secret key components to generate an array of signature components, the hash chain function comprising a series of even-index hash chains and a series of odd-index has chains, wherein the even-index hash chains and the odd-index hash chains generate a plurality of intermediate node values and a one-time public key component between the secret key components and the signature components; and store at least some of the intermediate node values in the computer-readable memory for use in one or more subsequent signature operations compute the message hash of the input message using at least one of a Winterniz One Time Signature (WOTS) scheme or a WOTS+scheme that invokes a secure hash algorithm (SHA) hash function apply a L-tree operation to the public key components to compress the public key components into a single leaf node value; and provide the single leaf node value as an input to the Merkle tree. 2. The apparatus of claim 1 , the hardware processor to: store the intermediate node values generated and one time public key components generated by the even-index hash chains in the computer-readable memory; and use the one-time public key components to define computations through an authentication path through a Merkle tree. 3. The apparatus of claim 1 , the hardware processor to: perform a first hash operations using the single leaf node value and a first odd-index public key component to generate a first parent node in the Merkle tree; and perform a series of hash operations using subsequent odd-index public key components to determine a root node value of the Merkle tree. 4. The apparatus of claim 3 , the hardware processor to: compare the root node value of the Merkle tree to a multi-signature public key value associated with the signing device; and generate an authentication success signal when the root node value of the Merkle tree matches the multi-signature public key value associated with the signing device. 5. The apparatus of claim 3 , the hardware processor to: compare the root node value of the Merkle tree to a multi-signature public key value associated with the signing device; and generate an authentication fail signal when the root node value of the Merkle tree does not match the multi-signature public key value associated with the signing device. 6. A method implemented in a hardware processor, comprising: computing a message hash of an input message using a secure hash algorithm; processing the message hash to generate an array of secret key components for the input message; applying a hash chain function to the array of secret key components to generate an array of signature components, the hash chain function comprising a series of even-index hash chains and a series of odd-index hash chains, wherein the even-index hash chains and the odd-index hash chains generate a plurality of intermediate node values and a one-time public key component between the secret key components and the signature components; and storing at least some of the intermediate node values in the computer-readable memory for use in one or more subsequent signature operations computing the message hash of the input message using at least one of a Winterniz One Time Signature (WOTS) scheme or a WOTS+scheme that invokes a secure hash algorithm (SHA) hash function applying a L-tree operation to the public key components to compress the public key components into a single leaf node value; and providing the single leaf node value as an input to the Merkle tree. 7. The method of claim 6 , further comprising: storing the intermediate node values generated and one time public key components generated by the even-index hash chains in the computer-readable memory; and using the one-time public key components to define computations through an authentication path through a Merkle tree. 8. The method of claim 6 , further comprising: performing a first hash operations using the single leaf node value and a first odd-index public key component to generate a first parent node in the Merkle tree; and performing a series of hash operations using subsequent odd-index public key components to determine a root node value of the Merkle tree. 9. The method of claim 8 , further comprising: comparing the root node value of the Merkle tree to a multi-signature public key value associated with the signing device; and generating an authentication signal when the root node value of the Merkle tree matches the multi-signature public key value associated with the signing device. 10. The method of claim 8 , further comprising: comparing the root node value of the Merkle tree to a multi-signature public key value associated with the signing device; and generating an authentication fail signal when the root node value of the Merkle tree does not match the multi-signature public key value associated with the signing device. 11. A non-transitory computer-readable medium comprising instructions which, when executed by a hardware processor, configure the hardware processor to perform operations, comprising: storing a public key associated with a signing device in a computer-readable medium; computing a message hash of an input message using a secure hash algorithm; processing the message hash to generate an array of secret key components for the input message; applying a hash chain function to the array of secret key components to generate an array of signature components, the hash chain function comprising a series of even-index hash chains and a series of odd-index hash chains, wherein the even-index hash chains and the odd-index hash chains generate a plurality of intermediate node values and a one-time public key component between the secret key components and the signature components; and storing at least some of the intermediate node values in the computer-readable memory for use in one or more subsequent signature operations computing the message hash of the input message using at least one of a Winterniz One Time Signature (WOTS) scheme or a WOTS+scheme that invokes a secure hash algorithm (SHA) hash function applying a L-tree operation to the public key components to compress the public key components into a single leaf node value; and providing the single leaf node value as an input to the Merkle tree. 12. The non-transitory computer-readable medium of claim 11 , further comprising instructions which, when executed by the hardware processor, configure the hardware processor to perform operations, comprising: storing the intermediate node values generated and one time public key components generated by the even-index hash chains in the computer-readable memory; and using the one-time public key components to define computations through an authentication path through a Merkle tree. 13. The non-transitory computer-readable medium of claim 11 , further comprising instructions which, when executed by the hardware processor, configure the hardware processor to perform operations, comprising: performing a first hash operations using the single leaf node value and a first odd-index public key component to generate a first parent node in the Merkle tree; and performing a series of hash operations using subsequent odd-index public key components to determine a root node value of the Merkle tree. 14. The non-transitory computer-readable medium of
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