# Line-Rate Post-Quantum Byzantine Consensus via L1D Balanced Ternary

> Source: <https://github.com/leadpiperl1/ternary-consensus-mesh>
> Published: 2026-09-20 02:54:03+00:00

This repository contains the reference eBPF/XDP drivers, Triton GPU lookup kernels, and microbenchmarking suites for the paper:

**"Radix Economy and Balanced Ternary Microarchitectures: Resolving the Memory Wall in Line-Rate Post-Quantum Consensus and Nanoscale Computing"**

*Target Venues: SOSP / OSDI / ISCA / ASPLOS*

1. 
**64-Byte L1D Cache-Resident Frame** : Compresses a 128-node consensus vote bitmask to 26 bytes ($3^5 = 243 \le 256$ ), enabling the entire synchronous descriptor (epoch + BLAKE3 accumulator + status flags) to fit within exactly one 64-byte L1D cache line.
2. 
**Deterministic Wire Latency** : Evaluated via eBPF XDP at 100GbE line-rate (99.2 Mpps aggregate across 8 queues, 12.4 Mpps/core) with$p50 = 40.0\text{ ns}$ and$p99.9 = 60.0\text{ ns}$ , safely below the$80.5\text{ ns}$ frame budget.
3. 
**State-Crypt Separation** : Decouples the 64-byte synchronous consensus frame from asynchronous ML-DSA-44 (NIST FIPS 204) signature verification offloaded over 2MB hugepage lock-free SPSC rings.
4. 
**Conflict-Free GPU Decompression** : Triton kernel maps 5-trit packed bytes into FP16 ternary weights with zero shared-memory bank conflicts using single-cycle hardware broadcast addressing.

- `xdp_ternary_filter.c` - Production eBPF XDP C driver for line-rate packet parsing, SipHash-2-4 pre-authentication, monotonic epoch tracking, and fast-path quorum accumulation.
- `triton_lut_kernel.py` - Triton GPU kernel for high-throughput 5-trit decompression on Tensor Cores.
- `benchmark_harness.py` - Microarchitectural evaluation reproducing the latency and throughput ablations across 64-byte ternary and 96-byte binary frames.
- `LICENSE` - MIT License.

```
# Requires clang and libbpf
clang -O2 -target bpf -c xdp_ternary_filter.c -o xdp_ternary_filter.o

# Attach to your 100GbE network interface (e.g. eth0) in native XDP mode
ip link set dev eth0 xdpgeneric obj xdp_ternary_filter.o sec xdp
# Requires PyTorch and Triton
python3 triton_lut_kernel.py
python3 benchmark_harness.py
@article{grimm2026radix,
  title={Radix Economy and Balanced Ternary Microarchitectures: Resolving the Memory Wall in Line-Rate Post-Quantum Consensus and Nanoscale Computing},
  author={Grimm, Justin},
  year={2026}
}
```

MIT License - Copyright (c) 2026 Justin Grimm.