Equivoe-T Transposition Encryption for Cryptographic Equivocation

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Solution Overview

Problem

Modern cryptography faces vulnerabilities due to the erosive intractability of existing ciphers, where shorter keys can be brute-forced, compromising encryption security, especially for high-entropy plaintexts, leading to potential manipulation of operational orders and decisions.

Innovation Solution

The development of Equivoe-T, a transposition-based encryption method that employs a decoy plaintext to create equivocation, allowing multiple plausible plaintexts, thereby confounding cryptanalysts and enhancing security without increasing computational burden, using a graph-based key and transposition algorithm to achieve durable equivocation.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Productivity

If modern ciphers with shorter keys are used, then encryption speed and efficiency are improved, but security is worsened due to vulnerability to brute-force attacks

Engineering Contradiction:
Improveencryption speedVSAvoidsecurity
Core Design Contradiction:
ProductivityVSReliability

Solution Approach 1:

The patent segments the encryption problem into two independent components: a fast transposition cipher that provides equivocation and a separate key management system. The transposition cipher processes data quickly by rearranging elements, while the security against brute-force attacks is provided by the structural complexity of the transposition rather than key length.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent changes the fundamental parameter from key length to transposition complexity. Instead of relying on long keys for security, the system uses the number of possible transposition arrangements (factorial complexity) to provide security, allowing short keys to maintain high security levels.

Inventive Principle:
Principle #35Parameter changes

2Reliability

If Vernam cipher with keys as large as messages is used, then equivocation is maximized making cryptanalysis extremely difficult, but key management complexity and overhead increase significantly

Engineering Contradiction:
ImproveequivocationVSAvoidkey management
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent extracts the equivocation function from the key itself and implements it through the transposition structure. Instead of embedding equivocation in long keys as in Vernam, the system uses a short key to control a transposition operation that inherently provides multiple plausible plaintexts, separating key length from equivocation provision.

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The patent creates multiple copies of the plaintext in transposed form, where each transposition represents a plausible alternative. This allows the system to provide Vernam-like equivocation without requiring Vernam-like key lengths, as the multiple plausible plaintexts are generated through transposition copies rather than key-based generation.

Inventive Principle:
Principle #26Copying

3Reliability

If transposition cipher with decoy plaintext is used, then equivocation is provided confounding cryptanalysts, but the complexity of determining the correct plaintext increases

Engineering Contradiction:
ImproveequivocationVSAvoidplaintext identification
Core Design Contradiction:
ReliabilityVSDifficulty of detecting and measuring

Solution Approach 1:

The patent converts the harm of potential plaintext misidentification into a benefit by using it as the mechanism for equivocation. The difficulty of determining which plaintext is correct is not a bug but the intended security feature, as this uncertainty prevents cryptanalysts from confidently attacking any single plaintext version.

Inventive Principle:
Principle #22Blessing in disguise (Convert harm into benefit)

Solution Approach 2:

Instead of trying to prevent plaintext misidentification through error-checking mechanisms, the patent inverts the approach by deliberately creating multiple equally plausible plaintexts. The system doesn't invert the identification process but inverts the security model: rather than protecting against misidentification, it uses misidentification as the security mechanism.

Inventive Principle:
Principle #13The other way round (Inversion)

Data Source

PatentUS10608814B2Equivoe-T: Transposition equivocation cryptography
Publication Date: 2020.03.31 SAMID GIDEON

AI summary

Equivoe-T complements its erosive cryptographic intractability with durable cryptographic equivocation. The captured ciphertext C generated through plaintext P using key K, may also be generated via a ‘fake plaintext’ P′≠P using a different key, K′≠K, presenting the cryptanalyst with a conclusive doubt as to the identity of the true plaintext. Prospectively there will be numerous plausible non-overlapping plaintext candidates, all guarding the identity of the true plaintext.