HyphaCrypt

HyphaCrypt is the custom cryptographic and encoding framework developed for the Seigr Urcelial-net’s .seigr file format. Inspired by the adaptive resilience of hyphal networks, HyphaCrypt enables secure, scalable, and adaptive data encoding, encryption, and integrity verification across Seigr’s decentralized network. It leverages advanced cryptographic strategies, combining senary encoding (base-6 encoding) with multi-layered hashing, adaptive salting, and a custom pseudo-random number generator (PRNG) based on Xorshift. HyphaCrypt’s robust design ensures that data remains traceable, resilient, and decentralized across the Seigr ecosystem.

With unique transformations, progressive hashing levels, dynamic salt generation, and high-entropy randomization, HyphaCrypt not only protects Seigr’s decentralized storage but also enables seamless traceability and scalability for future expansion within Seigr Urcelial-net.

Purpose of HyphaCrypt

In Seigr Urcelial-net, the goals of secure data integrity, authenticity, and tamper resistance are foundational. HyphaCrypt serves as the primary cryptographic tool for creating, managing, and distributing .seigr files, making it possible to maintain file integrity, prevent unauthorized access, and manage segment traceability. Through its adaptive, nature-inspired cryptographic framework, HyphaCrypt aligns with Seigr’s mission of fostering a secure, transparent, and resilient data system.

Key Features of HyphaCrypt

HyphaCrypt incorporates several sophisticated cryptographic and encoding techniques that ensure security, adaptability, and traceability within Seigr’s distributed file format. Key features include:

Senary Encoding: Converts binary data to base-6, achieving both compact data representation and security through obscurity.
Substitution-Permutation Network (SPN) Transformations: A complex, position-dependent transformation for enhanced data obfuscation.
Multi-Level Hashing with SHA-256 and SHA-512: Supports hierarchical and modular data integrity within .seigr files and file clusters.
Dynamic Salting Mechanism: Adaptive salting with unique, high-entropy salts ensures tamper resistance.
Custom Xorshift-based PRNG: Provides secure randomness, crucial for transformations, encoding, and salting operations.

Technical Overview

HyphaCrypt’s cryptographic framework is rooted in several advanced concepts from mathematics, cryptography, and physics, integrating them into Seigr Urcelial-net as a secure, self-sustaining data protection system. The following sections elaborate on its key components and technical features.

Senary Encoding and Decoding

HyphaCrypt’s senary encoding algorithm transforms binary data into base-6, creating a more compact representation while obscuring the raw binary data. By reducing data granularity, senary encoding optimizes .seigr file compatibility with Seigr Urcelial-net’s distributed storage system.

Mathematical Model of Senary Encoding: For an input byte $x$ , the senary encoding transformation function $f(x)$ maps $x$ to its base-6 equivalent:

  $f(x)=\sum _{i=0}^{n-1}d_{i}\cdot 6^{i}$ 
 
 where  $d_{i}$  represents the base-6 digits of the encoded value, and  $n$  is the number of digits in the base-6 representation of  $x$ . This transformation both compresses and obfuscates binary data, making reverse engineering complex.

Substitution-Permutation Network (SPN) Transformation: Each byte in the input undergoes an SPN transformation before base-6 encoding, involving a series of bitwise shifts and substitutions that depend on the byte’s position within the .seigr file. This transformation introduces non-linearity, creating unique encoded values.

Encoding Process Example:

Binary Input: [01010111]
SPN Transformation: [11101001]
Base-6 Encoded: "32"

Progressive Senary Transformations

Progressive transformations within HyphaCrypt introduce interdependencies between bytes, creating a network of transformations that propagate changes across the data structure. By implementing SPN transformations and position-based bitwise shifts, each byte’s encoding depends on the previous byte’s transformed state. This dependency ensures that tampering with one byte results in cascading changes across the segment.

Substitution-Permutation Dynamics: Each byte transformation involves a unique rotation and substitution based on both byte position and a salt-derived constant. The transformation can be expressed as:

  $T(x_{i})=(x_{i}\oplus s)\ll (i\mod n)$

 where  $T(x_{i})$  is the transformed byte,  $s$  is a salt-derived constant,  $\oplus$  denotes XOR, and  $\ll$  denotes a bitwise left shift. This operation is repeated in a non-linear permutation pattern across the dataset.

Multi-Level Hashing System

HyphaCrypt uses a hierarchical hashing model to secure .seigr files and provide cluster-level data integrity. This structure allows each .seigr file to reference its own hash within a larger hash structure, facilitating modular integrity management across Seigr Urcelial-net.

Primary Hashing (SHA-256): Every .seigr file segment generates a SHA-256 hash, creating an immutable record of each data segment’s state.
Cluster-Level Hashing (SHA-512): Clustered files (e.g., within a Seed file) are collectively hashed using SHA-512. This secondary hashing function references individual segment hashes and provides integrity across the cluster.

Hash Integrity Model: Let each segment hash be represented as $h_{i}$ for segments $i\in \{1,2,\ldots ,n\}$ within a cluster. The cluster-level hash $H_{c}$ is computed as:

$H_{c}={\text{SHA-512}}(h_{1}\parallel h_{2}\parallel \ldots \parallel h_{n})$

where $\parallel$ denotes concatenation. This layered structure allows Seigr Urcelial-net to verify each file’s integrity at both segment and cluster levels, enabling traceable, tamper-resistant data chains.

Dynamic Salting Mechanism

HyphaCrypt incorporates dynamic salt generation to enhance the uniqueness and security of each hash. This mechanism introduces substantial entropy, protecting data from predictable patterns and rainbow table attacks.

Salt Generation Model: Each salt $s$ is generated using a combination of UUIDs, high-precision timestamps, and entropy from the PRNG:

  $s={\text{UUID}}\oplus {\text{Timestamp}}\oplus {\text{PRNG}}$

 where  $\oplus$  denotes XOR, UUID is a unique identifier, and PRNG represents high-entropy random output from the pseudo-random number generator.

Adaptive Salt Injection: Salt is applied adaptively across each byte in a .seigr segment, ensuring that even similar data has unique cryptographic representations, significantly enhancing security and tamper resistance.

Xorshift-Based Secure Pseudo-Random Number Generator (PRNG)

HyphaCrypt’s Xorshift-based PRNG supplies randomness for encoding, hashing, and salting operations. Xorshift algorithms, known for their high entropy and speed, are suitable for cryptographic purposes within Seigr Urcelial-net.

Xorshift Algorithm Mechanics: Xorshift PRNG operates by bitwise shifting a seed value to produce a sequence of high-entropy numbers. Let $X_{n}$ be the seed at step $n$ ; the Xorshift update function can be represented as:

  $X_{n+1}=X_{n}\oplus (X_{n}<<a)\oplus (X_{n}>>b)\oplus (X_{n}<<c)$

 where  $<<$  and  $>>$  denote bitwise shifts, and  $a$ ,  $b$ , and  $c$  are constants that determine randomness. This function generates a new sequence at each iteration, introducing high entropy for cryptographic operations.

Security Advantages of HyphaCrypt

HyphaCrypt is designed to meet Seigr Urcelial-net’s high standards for security, providing robust protections against tampering, data breaches, and unauthorized access. Key security benefits include:

Data Obfuscation and Anti-Forensics: The combination of SPN transformations and senary encoding deters unauthorized analysis or reverse engineering.
High Entropy and Non-Predictability: Dynamic salting and Xorshift PRNG-backed randomness make it virtually impossible for attackers to predict transformations or hash results.
Tamper Detection: SHA-256 and SHA-512 hashing, combined with dynamic salts, allow any modification to a .seigr file or its clusters to be detected immediately.
Independent Cryptographic Layer: By relying on self-contained cryptographic functions rather than external libraries, HyphaCrypt enhances Seigr’s resilience and security.

Applications within Seigr Urcelial-net

HyphaCrypt’s cryptographic infrastructure supports key operations within Seigr Urcelial-net, enabling secure encoding, hashing, and integrity management for .seigr files. Applications include:

Adaptive Data Replication: Combined with the 6RR Mechanism, HyphaCrypt enables efficient data replication strategies, adjusting replication rates based on demand while ensuring security.
Secure Hash Chain Management: Links each .seigr file securely to previous and subsequent files, allowing for efficient traceability within the Immune System.
Contributor Traceability: Secure lineage tracking is achieved through hash-based verification, allowing transparent management of contributor data.

Conclusion

HyphaCrypt serves as a critical cryptographic backbone within Seigr Urcelial-net, embodying principles of resilience, transparency, and decentralized accessibility. With its nature-inspired, modular cryptographic framework, HyphaCrypt secures .seigr files through senary encoding, multi-level hashing, dynamic salting, and robust PRNG mechanisms. This innovative system positions Seigr to evolve as a secure, transparent, and community-driven ecosystem, effectively bridging the principles of cryptographic security with sustainable data practices.