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Evervault Papers

Crypto means cryptography

The most important cryptography papers spanning the past, present, and future of cryptosystems & cryptology.

Non-Malleable Cryptography
Non-Malleable Cryptography

Danny Dolev, Cynthia Dwork, & Moni Naor

On the (Im)possibility of Obfuscating Programs
On the (Im)possibility of Obfuscating Programs

Boaz Barak, Oded Goldreich, Rusell Impagliazzo, Steven Rudich, Amit Sahai, Salil Vadhan, & Ke Yang

Computer Systems Established, Maintained and Trusted by Mutually Suspicious Groups
Computer Systems Established, Maintained and Trusted by Mutually Suspicious Groups

David L. Chaum

A Digital Signature Based on a Conventional Encryption Function
A Digital Signature Based on a Conventional Encryption Function

Ralph C. Merkle

A Digital Signature Based on a Conventional Encryption Function

A Digital Signature Based on a Conventional Encryption Function

Ralph C. Merkle — Published August 1987

In this Paper, Ralph C. Merkle devised the concept of Merkle trees. Merkle trees provide an efficient way to store data, saving memory and processing power.

At the heart of Merkle trees is hashing. Hash functions are algorithms for computing a unique, fixed-length value (a hash) from data. A small change in the input of a hash function changes the hash value entirely; hashes are unique. Hash functions are one-way; hash values cannot be reversed to reveal the input. Merkle trees depend on hash uniqueness to organize and verify data.

A Merkle tree is a tree of hashes. Each parent node in the tree has two or more child nodes. The original child nodes in the tree store hashes of plaintext data. The hash of a set of child nodes (sibling nodes) creates the hash of the parent node — a hash of a hash. This process of hashing continues all the way up until the root hash — the final hash in the tree.

If at any point in the tree, the input of a hash is changed, this change will show in consequent hashes — including the root hash. Merkle proofs are used to verify that the hashes across all branches of the Merkle tree have not been tampered with.

Merkle trees are a core component of cryptocurrencies like Bitcoin and Ethereum.

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The Knowledge Complexity of Interactive Proof-Systems
The Knowledge Complexity of Interactive Proof-Systems

Shafi Goldwasser, Silvio Micali, & Charles Rackoffero

Minimal Key Lengths for Symmetric Ciphers to Provide Adequate Commercial Security
Minimal Key Lengths for Symmetric Ciphers to Provide Adequate Commercial Security

Matt Blaze, Whit eld Diffie, Ronald L. Rivest, Bruce Schneier, Tsutomu Shimomura, Eric Thompson, & Michael Wiener

CryptDB: Protecting Confidentiality with Encrypted Query Processing
CryptDB: Protecting Confidentiality with Encrypted Query Processing

Raluca Ada Popa, Catherine M. S. Redfield, Nickolai Zeldovich, & Hari Balakrishnan

Protocols for Secure Computations
Protocols for Secure Computations

Andrew C. Yao

Bitcoin: A Peer-to-Peer Electronic Cash System
Bitcoin: A Peer-to-Peer Electronic Cash System

Satoshi Nakamoto

A fully homomorphic encryption scheme
A fully homomorphic encryption scheme

Craig Gentry

On Data Banks and Privacy Homomorphisms
On Data Banks and Privacy Homomorphisms

Ronald L. Rivest, Len Adleman, & Michael L. Dertouzos

A fast quantum mechanical algorithm for database search
A fast quantum mechanical algorithm for database search

Lov K. Grover

Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer

Peter Shor

Use of Elliptic Curves in Cryptography
Use of Elliptic Curves in Cryptography

Victor Miller

Elliptic Curve Cryptosystems
Elliptic Curve Cryptosystems

Neal Koblitz

A Method for Obtaining Digital Signatures and Public Key Cryptosystems
A Method for Obtaining Digital Signatures and Public Key Cryptosystems

Ronald L. Rivest, Adi Shamir, & Len Adleman

New Directions in Cryptography
New Directions in Cryptography

Whitfield Diffie & Martin E. Hellman

Cramming more components onto integrated circuits
Cramming more components onto integrated circuits

Gordon Moore

A Mathematical Theory of Cryptography
A Mathematical Theory of Cryptography

Claude E. Shannon

La Cryptographie Militaire
La Cryptographie Militaire

Auguste Kerckhoffs