The Blayko Principle

Any increase in practical brute-force capability can be matched by an equal or greater increase in authentication strength by applying the same class of computational advances to defense.

Let A denote adversarial search power and D the defender's work factor (verification cost, credential entropy, or factor composition). The security margin M = D - A is maintained by tuning parameters, adding independent factors, or migrating primitives such that for any ΔA there exists a deployable transformation T with bounded verifier cost and acceptable user friction that restores M ≥ m for a chosen target m>0.

• Work-factor coupling: time/memory-hard KDFs (e.g., Argon2/scrypt/PBKDF2) track hardware gains.

• Entropy amplification: independent factors (device-bound keys, OTP, passkeys/PAKEs) expand effective search space superlinearly versus single-factor brute force.

• Primitive migration: when an attack class obsoletes a primitive (e.g., Shor vs. RSA/ECC), move to primitives outside that class (lattice/hash/code-based) and increase symmetric key sizes accordingly.

• Hardware bounding: secure elements, TEEs, and HSMs bind secrets to devices and rate-limit guessing, converting raw compute into throttled verification.

Assume defenders can update parameters/primitives and ship changes; attackers and defenders share the same broad compute paradigm (classical or quantum). Social engineering, governance failures, and side-channels are orthogonal to the parity claim.

Explicit limits: if attackers gain an asymmetric algorithmic or physical advantage that defenders cannot access or counter in deployment time, parity lapses until migration completes. If computation were unbounded or omniscient ("demon" scenario), secrecy collapses and only information-theoretic schemes with pre-shared keys survive. Excessive verifier cost or user friction can cap D; maximizing M is a design and UX problem as much as a cryptographic one.

Practical prediction: in any compute era t, there exist parameter choices and factor compositions such that the median offline-compromise cost per account remains above a chosen economic threshold C_t despite observed ΔA_t. If not, revise parameters or primitives—parity is a deployment problem, not a theoretical impossibility.

As compute grows, bind it to the gate: let the power that enables search underwrite trust.