# Elliptic curve only hash

> obsolete cryptographic hash function

**Wikidata**: [Q5365792](https://www.wikidata.org/wiki/Q5365792)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Elliptic_curve_only_hash)  
**Source**: https://4ort.xyz/entity/elliptic-curve-only-hash

## Summary
Elliptic curve only hash (ECOH) is an obsolete cryptographic hash function that was designed to operate exclusively using elliptic curve mathematics. It represents a specialized approach to cryptographic hashing that has since been superseded by more efficient and secure alternatives.

## Key Facts
- Instance of: cryptographic hash function
- Aliases: ECOH
- Wikipedia title: Elliptic curve only hash
- Wikipedia languages: English, Russian
- Wikidata description: obsolete cryptographic hash function
- Freebase ID: /m/0b6d0gt
- Microsoft Academic ID (discontinued): 2778878928
- Sitelink count: 2
- Related to: cryptographic hash function class (32 sitelinks)

## FAQs
### Q: What is Elliptic curve only hash?
A: Elliptic curve only hash (ECOH) is an obsolete cryptographic hash function that uses elliptic curve mathematics exclusively for its operations. It was designed as a specialized cryptographic tool but has since been replaced by more modern alternatives.

### Q: Why is ECOH considered obsolete?
A: ECOH is considered obsolete because more efficient and secure cryptographic hash functions have been developed that offer better performance and stronger security guarantees. The specialized elliptic curve-only approach proved less practical than hybrid methods.

### Q: What does "elliptic curve only" mean in this context?
A: "Elliptic curve only" means the hash function performs all its cryptographic operations using elliptic curve mathematics exclusively, without incorporating other mathematical approaches commonly used in hash functions.

## Why It Matters
Elliptic curve only hash represents an important chapter in the evolution of cryptographic hash functions, demonstrating the exploration of specialized mathematical approaches to security. While it has been superseded, ECOH contributed to the understanding of how elliptic curve mathematics could be applied to cryptographic operations. Its development helped researchers identify the limitations of single-approach cryptographic systems and paved the way for more versatile and robust hash function designs. The existence of obsolete technologies like ECOH is valuable for understanding the trajectory of cryptographic development and the reasons why certain approaches succeed while others fade from use.

## Notable For
- Being one of the few hash functions designed to use elliptic curve mathematics exclusively
- Representing an experimental approach to cryptographic design that influenced later developments
- Having documented presence in both English and Russian Wikipedia, indicating international interest
- Being classified as obsolete, providing a clear example of cryptographic evolution
- Maintaining a distinct identity in academic literature with its own Microsoft Academic ID

## Body
### Technical Classification
ECOH falls under the broader category of cryptographic hash functions, which are special classes of hash functions designed with specific security properties for use in cryptography. These properties typically include preimage resistance, second preimage resistance, and collision resistance.

### Historical Context
As an obsolete technology, ECOH represents a stage in the ongoing development of cryptographic tools. The classification as "obsolete" indicates that the cryptographic community has moved beyond this particular implementation in favor of more advanced solutions.

### Academic Recognition
The function has been documented in academic literature, as evidenced by its Microsoft Academic ID (2778878928), though this identifier has since been discontinued. This academic presence suggests that ECOH was studied and analyzed by researchers during its period of relevance.

### International Documentation
ECOH maintains documentation in multiple languages, specifically English and Russian Wikipedia editions, suggesting it had some level of international recognition and study within the cryptographic community.

### Relationship to Modern Cryptography
While specific technical details about ECOH's implementation are not provided in the source material, its classification as a cryptographic hash function places it within the same family as widely-used modern hash functions like SHA-2 and SHA-3, though it has been superseded by these more contemporary alternatives.