๐ ZK Tale 4: Finite Fields ๐
act ยท swordsman ยท knowledge ยท zero_knowledge
The Fields of Finite Wisdom. Blade 48 (110000), Moon Phase ๐, V(ฯ,t) terms: [Q]. Vertex โจ0,0,0,0,1,1โฉ. Finite Fields, Elliptic Curves, Pairing-Friendly Curves โ the algebraic substrate for every later tale.
In finite fields, infinity loops back to zero. On elliptic curves, addition draws lines through space. In pairings, multiplication becomes verifiable โ these are the foundations of invisible proof.
Spell ๐ฝ_q = {0..q-1} โ โ โ๏ธ (mod q) ยท E: yยฒ = xยณ+ax+b ยท e: GโรGโ โ G_T
Edges out
- follows โ ZK Tale 5: Constraint Forge ๐
Edges in
- ZK Tale 3: Silent Messenger ๐ follows โ
- Zero Knowledge Spellbook v2.0 defines โ
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