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Egalitarian computing (1606.03588v2)

Published 11 Jun 2016 in cs.CR

Abstract: In this paper we explore several contexts where an adversary has an upper hand over the defender by using special hardware in an attack. These include password processing, hard-drive protection, cryptocurrency mining, resource sharing, code obfuscation, etc. We suggest memory-hard computing as a generic paradigm, where every task is amalgamated with a certain procedure requiring intensive access to RAM both in terms of size and (very importantly) bandwidth, so that transferring the computation to GPU, FPGA, and even ASIC brings little or no cost reduction. Cryptographic schemes that run in this framework become egalitarian in the sense that both users and attackers are equal in the price-performance ratio conditions. Based on existing schemes like {Argon2} and the recent generalized-birthday proof-of-work, we suggest a generic framework and two new schemes: MTP, a memory-hard Proof-of-Work based on the memory-hard function with fast verification and short proofs. It can be also used for memory-hard time-lock puzzles. {MHE}, the concept of memory-hard encryption, which utilizes available RAM to strengthen the encryption for the low-entropy keys (allowing to bring back 6 letter passwords).

Citations (25)

Summary

  • The paper introduces a novel egalitarian computing framework that uses memory-hard functions to counteract the advantages of specialized hardware.
  • It details the use of memory-intensive constructs like Merkle Tree Proof (MTP) and Memory-Hard Encryption (MHE) to enhance cybersecurity protocols.
  • The study highlights significant implications for equitable resource allocation and improved defenses in fields such as password security and cryptocurrency mining.

Egalitarian Computing and Memory-Hard Algorithms

The paper, "Egalitarian Computing," authored by Alex Biryukov and Dmitry Khovratovich, introduces a robust framework to tackle the disparity between users and adversaries in computational contexts where high-end, specialized hardware traditionally provides attackers with an insurmountable advantage. The work primarily targets cybersecurity domains, including password protection, cryptocurrency mining, and data encryption, proposing the concept of egalitarian computing. This concept leverages memory-hard functions to level the computational playing field between regular users and attackers using specialized hardware such as GPUs, FPGAs, and ASICs.

Paradigm of Memory-Hard Functions

Central to this framework is the use of memory-hard functions, which engage extensive RAM access both in terms of capacity and bandwidth. This characteristic makes it cost-ineffective or impossible for specialized hardware to execute such functions without significant expense, thus nullifying any existing adversarial advantage associated with custom hardware. The authors introduce two main constructs within this domain: the Merkle Tree Proof (MTP) and Memory-Hard Encryption (MHE).

Merkle Tree Proof (MTP) and Applications

MTP is designed as a memory-hard Proof-of-Work (PoW) scheme that incorporates memory-hard functions with swift verification and minimal response sizes. The paper details the efficacy of MTP, highlighting its ability to handle approximately 2 GB of RAM and demonstrate rapid proof generation, outperforming competitors like Equihash in this regard. This scheme is particularly relevant in the context of cryptocurrencies where equitable mining processes are essential to prevent centralization often caused by large and centralized mining pools dominating due to their access to specialized hardware.

MTP also offers additional utility such as memory-hard time-lock puzzles, ensuring that even with unlimited parallelism, a lower bound on runtime exists. This property aligns well with the need for timestamping mechanisms and scenarios requiring inherently sequential computation, thereby ensuring fair resource allocation across computational tasks.

Memory-Hard Encryption (MHE)

MHE is another innovative scheme presented in the paper, which leverages memory availability to reinforce encryption security, particularly for low-entropy keys and system passwords. By harnessing memory-hard functions in the encryption process, MHE effectively mitigates common password vulnerabilities created by dictionary attacks on encrypted data. This mechanism places an additional computational burden on attackers attempting offline brute-force attacks while maintaining performance efficiency for legitimate users.

Implications Within Cybersecurity

The theoretical and practical implications of this research extend towards improving defenses against high-scale automated attacks, establishing a more homogenous landscape for secure computing. The paper's proposals for egalitarian cryptography potentially lead to simpler security analyses and relaxed security requirements. For LLM and related models, these paradigms could inspire novel methods for resource allocation and secure, unbiased deployment strategies in adversarial environments.

Future Directions

Potential future developments indicated by the research lie in refining memory-hard function designs and their integration into broader computing paradigms. The complexity of scaling these models efficiently remains a vital consideration. Moreover, exploring integration with emerging technologies like blockchain could prove beneficial, reinforcing egalitarian principles across distributed and decentralized systems.

This work ultimately contributes to the cybersecurity field by providing the blueprint for egalitarian computing, reducing the risk of centralized power in cryptographic applications, and improving resilience against specialized hardware attacks. The continued advancement of these techniques will further the quest for equitable and secure computational ecosystems.

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