nebu specification
canonical reference for the Goldilocks prime field, its arithmetic, and its hardware.
spec pages
| page |
defines |
| field |
prime, elements, arithmetic, properties, why Goldilocks |
| ntt |
Number Theoretic Transform, roots of unity, butterfly, Cooley-Tukey |
| encoding |
7-byte input encoding, 8-byte output encoding, padding, throughput |
| vectors |
known-answer test vectors for all field operations |
| sqrt |
square root, Legendre symbol, Tonelli-Shanks |
| batch |
batch inversion, Montgomery's trick |
| fp2 |
quadratic extension F_{p²}, 128-bit security |
| fp3 |
cubic extension F_{p³}, recursive composition |
| fp4 |
quartic extension F_{p⁴}, 256-bit security, recursion tower |
| hardware |
GFP primitives: fma, ntt, p2r, lut (proposal) |
see also
- hemera — hash function over this field
- trident — language compiled to circuits over this field
- nox — VM executing over this field
Dimensions
reference
reference of go-cyber lcd api in [swagger docs](https://lcd.bostrom.cybernode.ai) cyber cli tool is a reference for operations related transactions bostrom/api
bbg/reference
reference
trident/reference
📖 Trident Reference [← Documentation Index](/trident-docs-readme) Canonical reference for all Trident design decisions. If reference docs and code disagree, the reference wins. Language Reference [language.md](/trident-reference-language) — the complete language in one file, 16 sections. Language |…
rs/reference
Rs Reference Primitives | # | Primitive | Reference | Type | |---|-----------|-----------|------| | 1 | [Typed Registers](/rs-reference-registers) | `#[register]` | Compiler (800L) | | 2 | [Bounded Async](/rs-reference-async) | `async(duration)` / `#[bounded_async]` | Proc-macro (200L) + rsc lint…
hemera/reference
Hemera: A Permanent Hash Primitive for Planetary-Scale Collective Intelligence | field | value | |----------|--------------------------------| | version | 1.0 | | status | Decision Record | | authors | mastercyb, Claude (Anthropic) | | date | February 2026 | Abstract Hemera is the cryptographic…
zheng/reference
zheng reference precise definitions, parameters, APIs, and constraint costs for each component zheng implements. these pages answer "what exactly is X" — the spec you consult when implementing or auditing. for intuition, motivation, and learning paths see…
nox/reference
nox reference canonical specification of the nox virtual machine. this is the source of truth — when code and reference disagree, fix reference first, then propagate to code. specifications | page | scope | status | |------|-------|--------| | vm.md | overview, field (nebu), hash (hemera),…