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| Threat Vector | JL‑SPP Mitigation | |---------------|-------------------| | (server breach) | Verifiers are encrypted with AES‑GCM‑SIV; even if ciphertext is stolen, the attacker lacks the master key and the Argon2id pre‑hash adds computational cost. | | Online Guessing | NIZKP is bound to a fresh session nonce; replay attempts are rejected. Rate‑limiting can be added at the API gateway. | | Quantum Adversary | The security of Ring‑LWE is based on worst‑case lattice problems that have no known polynomial‑time quantum algorithms. | | Side‑Channel Leakage | All public‑facing operations (hashing, NIZKP verification, verifier comparison) run in constant time; the library is audited against timing and cache‑timing attacks. | | Key‑Compromise Impersonation | Master key for verifier encryption lives in a dedicated KMS (AWS KMS, HashiCorp Vault, or Azure Key Vault). Rotation is supported without re‑enrolling users. | | Man‑in‑the‑Middle (MITM) | All network traffic should be protected with TLS 1.3; the proof includes a server‑generated challenge bound to the TLS session transcript. |

// 3️⃣ Retrieve verifier & compare byte[] storedVerifier = store.load(username); byte[] derivedVerifier = RingLwe.generateVerifier(secret); if (!ConstantTime.equals(storedVerifier, derivedVerifier)) throw new AuthenticationException("Bad credentials"); jl-spp

public class AuthDemo

| Year | Milestone | |------|-----------| | | Password‑hashing schemes (MD5, SHA‑1) become standard. | | 2000s | Introduction of adaptive hash functions (bcrypt, PBKDF2). | | 2015 | Argon2 wins the Password Hashing Competition (PHC). | | 2016‑2020 | Quantum‑resistant cryptography research (NIST PQC competition) matures. | | 2022 | First practical lattice‑based key‑exchange libraries for Java appear (e.g., lattice‑crypto-java ). | | 2024 | JL‑SPP released as the first post‑quantum‑ready password‑authentication library for Java ecosystems. | | | Quantum Adversary | The security of

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