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JOURNALS // Prikladnaya Diskretnaya Matematika. Supplement // Archive

Prikl. Diskr. Mat. Suppl., 2025 Issue 18, Pages 211–218 (Mi pdma714)

Mathematical Foundations of Computer Science and Computer Security

Security analysis of the Ethereum Modified Merkle Patricia Trie

S. N. Kyazhin, L. R. Akhmetzyanova


Abstract: The Ethereum Modified Merkle Patricia Trie assumes a representation of the state of the blockchain system as a tree, which is a modification of the Merkle tree and the Patricia tree. This paper demonstrates that the security of the mechanism relies on the collision resistance of the underlying hash function: if the system state changes but the hash value computed using the Ethereum Modified Merkle-Patricia-Trie remains unchanged, then a collision must have occurred in at least one of the hash values computed by the underlying hash function.

Keywords: cryptography, hash, collision, Merkle tree, Patricia tree, blockchain, Ethereum Modified Merkle Patricia Trie.

UDC: 004.056

DOI: 10.17223/2226308X/18/42



© Steklov Math. Inst. of RAS, 2026