srfp311t1 Binary Kernel Parameters

Document Type: Technical Appendix / Core Data Manifest
Kernel Version: srfp311t1 (311-bit finite field model)
For more information or to contact the developers: [email protected]
Date Generated: [Runtime Timestamp]
System Overview: The system is defined by the Short Weierstrass Curve: \[ E: y^2 = x^3 + Ax + B \pmod P \] Below, each parameter is defined by its semantic value (decimal/derivation) and verified against its stored raw hexadecimal encoding.

1. Core Parameters and Integrity Check

P Modulus / Field Prime
Decimal Value: 3050270732303867035426569855071344150020050131375292223633894756517537249644418382051685297571
Derived from Bit Depth \(\approx \pi / (2\alpha \ln 2) \approx 310.55\). Nearest Prime \(P \equiv 3 \pmod 4\).
5D9680A9CCE048DF75CFA780B5DBF74BA546EDB6B551080D3D8C05BB940E176BC37BE14549EDA3
SHA256: ...
A Impedance Coefficient
Decimal Value: 2848213829144272750026831693559894159255063839034793341841623201175699043858105291865229423962
Hardcoded Constant. Represents \(-\zeta(3)\) approximation error in the original build.
57636FC743918D5EC7F946204F46CFAE63ECAD6A012EDFB903E8BC7CE2F58EBEDC718B9DC4F55A
SHA256: ...
B Mass/Volume Ratio
Decimal Value: 176136253419928193213219452803870329035650170438138981442962457193233866385558455648877395669
Derived Constant. \( B = \lfloor \frac{\pi^4}{8} \cdot 10^{93} \rfloor - \delta \). The "Ideal Volume" minus the Neutrino Mass Offset.
0567788ECEA61231EF4449E2014420E0BC410D8C8405C637FC3F92E1E35D854D406B10B5C9BED5
SHA256: ...
G Generator Point (Uncompressed)
X-Coordinate: 1
Y-Coordinate: 1130968320147379634488488512592319498962733806224039917555310117347222215829218584301583626322
Origin Point. \(x=1\) (Unity). Used for lattice propagation.
0400000000000000000000000000000000000000000000000000000000000000000000000000000122B33F27FB7512D82678B61238B74E2DBD7C3B1A25C1B5C992D1E1FEE3AA6EC27E1531FE927052
SHA256: ...
N Order / Time Constant
Decimal Value: 3050270732303867035426569855071344150020050131375292223633894756517537249644418382051685297569
Trace \(t = P + 1 - N = 3\). Corresponds to three spatial dimensions.
5D9680A9CCE048DF75CFA780B5DBF74BA546EDB6B551080D3D8C05BB940E176BC37BE14549EDA1
SHA256: ...
H Cofactor / Noise Floor
Decimal Value: 15833 (Factors: \(71 \times 223\))
The Noise Floor. Forces the bulk order \(Q = N/h\) to satisfy Dâ‚„ Lattice embedding.
3DD9
SHA256: ...

2. Verification Kernel (Raw Hex Parameters)

The standardized raw hexadecimal representation is provided below for direct integration into cryptographic validation toolchains. 

# srfp311t1 Binary Kernel Parameters
# Protocol: RBH-SHA256 (Big-Endian)
# Note: Length verification must be performed against the full hex strings.

P = 5D9680A9CCE048DF75CFA780B5DBF74BA546EDB6B551080D3D8C05BB940E176BC37BE14549EDA3
A = 57636FC743918D5EC7F946204F46CFAE63ECAD6A012EDFB903E8BC7CE2F58EBEDC718B9DC4F55A
B = 0567788ECEA61231EF4449E2014420E0BC410D8C8405C637FC3F92E1E35D854D406B10B5C9BED5 
G = 0400000000000000000000000000000000000000000000000000000000000000000000000000000122B33F27FB7512D82678B61238B74E2DBD7C3B1A25C1B5C992D1E1FEE3AA6EC27E1531FE927052
N = 5D9680A9CCE048DF75CFA780B5DBF74BA546EDB6B551080D3D8C05BB940E176BC37BE14549EDA1
H = 3DD9