1. This result extends your post-quantum cryptography research by demonstrating the physical feasibility and hardware overhead (6.0% LUTs, 6.9% registers) of implementing Ring Learning With Errors (RLWE) schemes directly into silicon SoC architectures.

A hardware implementation of a Ring Learning With Errors (RLWE)-based public-key encryption/KEM scheme (e.g., a Kyber-like or NewHope-like construction), synthesized and mapped onto a representative FPGA or ASIC-standard-cell target technology, can be integrated into a System-on-Chip (SoC) architecture while consuming ≤6.0% of available Look-Up Tables (LUTs) and ≤6.9% of available registers/flip-flops on the reference device, at a specified target clock frequency (≥100 MHz) and with encryption/decryption throughput sufficient for real-time secure-channel establishment (≤1 ms per key-exchange operation). The claim is falsifiable: it fails if resource utilization exceeds the stated thresholds by more than a defined tolerance (see DISPROOF_CRITERIA) on the same or a comparably-sized reference device, or if the design fails timing closure, functional verification, or side-channel baseline screening.

Minimum Viable Test (MVT):

1. Select one concrete RLWE scheme + parameter set (recommend Kyber-768, NIST PQC standardized, for direct comparability with published literature).
2. Implement/obtain open RTL (VHDL/Verilog) for polynomial multiplication (NTT-based), sampling (CBD/rejection sampling), and encoding/decoding modules.
3. Integrate as an AXI-Lite peripheral into a minimal SoC (e.g., open-source RISC-V core + peripheral bus) on a defined reference FPGA (Xilinx Artix-7 XC7A100T or equivalent).
4. Run synthesis + place-and-route (Vivado or open-source Yosys/nextpnr flow) and record LUT/register/BRAM/DSP utilization, max clock frequency, and dynamic/static power.
5. Run functional simulation against official NIST KAT vectors; confirm 100% pass rate.
6. Compare resulting utilization percentages against the claimed 6.0% LUT / 6.9% register figures within stated tolerance.
7. Repeat on one additional device family (e.g., Intel/Altera Cyclone) to test cross-platform generalization (secondary, not required for MVT pass/fail).

Top-Level SoC Architecture:
┌─────────────────────────────────────────┐
│  RISC-V / ARM Core (baseline SoC)        │
│      │  AXI-Lite / APB bus               │
│      ▼                                   │
│  RLWE Crypto Peripheral (DUT)            │
│  ┌─────────────────────────────────┐     │
│  │ Control/Status Registers         │     │
│  │ Key/Ciphertext Buffers (BRAM)    │     │
│  │ NTT Butterfly Unit (Barrett red.)│     │
│  │ CBD Sampler (noise generation)   │     │
│  │ Poly Add/Mul/Encode/Decode       │     │
│  └─────────────────────────────────┘     │
└─────────────────────────────────────────┘

Pseudocode — Test Harness:
FOR each KAT_vector in NIST_Kyber768_KAT_file:
    load(pk, sk, ct_expected, ss_expected)
    ct_actual = HW_ENCAPSULATE(pk)      # RTL simulation call
    ss_actual = HW_DECAPSULATE(sk, ct_actual)
    ASSERT ct_actual == ct_expected
    ASSERT ss_actual == ss_expected
    record(cycle_count)
END FOR

# Synthesis harness
FOR strategy in [AREA_OPTIMIZED, SPEED_OPTIMIZED]:
    synth_report = run_vivado_synth(rtl, constraints, strategy)
    pnr_report   = run_vivado_pnr(synth_report)
    log(LUT_pct = pnr_report.LUT_used / device.LUT_total)
    log(REG_pct = pnr_report.FF_used  / device.FF_total)
    log(Fmax, power_static, power_dynamic)
END FOR

# Side-channel baseline screen
FOR secret_key in [k1, k2, ..., k_N]:  # N ~ 1000 varied keys
    measure(cycle_count for fixed plaintext)
ASSERT variance(cycle_counts) < 1%