LATTICE MATH GRID CRACK

Lattices are infinitely large objects, but traditional computers only have a finite amount of memory to work with.

“The best algorithms we come up with still fail miserably,” says Peikert. In a high enough dimension, for instance, a bounded-distance decoding problem-a type of lattice-based conundrum-should be able to flummox these machines (see sidebar). Abstract algebraic structures, lattices are enormous grids with many individual points across two, three, or potentially hundreds of dimensions. “What hard problem are we going to use? How do we use that problem to encrypt messages securely?”Įnter lattices. “We need to identify alternative problems we can use as the foundation for quantum-secure cryptosystems,” says Chris Peikert, professor of computer science and engineering at the University of Michigan.

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Someday, quantum computers will be able to perform a vast number of calculations almost instantaneously, breaking the ciphers that protect personal data. This gives quantum computers-once little more than a laboratory curiosity-access to a larger space of values than conventional computers, with their binary 0’s and 1’s. Quantum computers can perform certain functions that ordinary computers simply can’t in part, this is because qubits (the way information is encoded on quantum computers) adopt the properties of quantum mechanics, using individual atoms, ions, photons, or electrons to take on a combination of various states at once. Quantum computers, however, won’t be stumped by such hard problems their exponential leaps in processing power will render classical cyphers obsolete, potentially exposing troves of sensitive data across commercial entities, healthcare providers, government institutions, and billions of individual users.Įxperts are working to devise cryptographic schemes that can run on today’s computers, but that can also be used in ciphers to protect data against quantum attackers.

LATTICE MATH GRID CRACK

Classical computers would require billions of years to crack these codes.

Traditional encryption uses schemes based on complex mathematics such as factoring (breaking an integer down to its prime factors) or discrete logarithm. Encryption-the process of sending a scrambled message that only the intended recipient’s device can decode-allows private and public sectors alike to safeguard information.

Lattice math grid