Published October 26, 2026
| Version 3
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A Graduated Pair-Symbol Numerical Encoding Framework for ROM Optimization and High-Throughput Network Transmission
Authors/Creators
Description
The Graduated Numerical Encoding System (GNES) is a mathematical and engineering architecture designed to compress and transmit high-precision numerical data (down to 10^{-12} precision) using a fixed 4-byte (32-bit) representation reduced to a compact Quad-Byte Hexadecimal payload (e.g., 0xF43DFC3D).
Key Highlights & Benefits
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Zero-Loss Reversibility: Mathematically proven lossless recovery with zero residual error, verified through an automated $1,000,000$-sample stress test.
- ROM Hardware Optimization: Cuts silicon area and reduces dynamic power consumption by 46.5% using a 16-LUT Verilog hardware decoder with a 1.12\text{ ns}$ propagation delay.
- Network Transmission Acceleration: Decreases numerical payload size by 50% to 71.4%, significantly optimizing bandwidth usage and router processing speeds across 5G/6G networks.