[Verse 1] In dimensions high where vectors dance Points scattered through Euclidean space Each coordinate a whispered chance To find the secrets hiding in this place The lattice spreads its crystal grid Where shortest paths stay forever hid [Chorus] SVP - the shortest vector problem calls Find the tiniest arrow through these walls LWE - learning with errors in disguise Noise protects what quantum can't comprise Lattice strong, quantum wrong This foundation will outlast the storm [Verse 2] Babai's algorithm tries to peek At closest vectors lurking near But NP-hardness makes it weak When dimensions multiply and interfere The basis vectors span and stretch While cryptanalysts can only guess and fetch [Chorus] SVP - the shortest vector problem calls Find the tiniest arrow through these walls LWE - learning with errors in disguise Noise protects what quantum can't comprise Lattice strong, quantum wrong This foundation will outlast the storm [Bridge] Shor's algorithm breaks the RSA throne Elliptic curves crumble and fall But lattice problems stand alone Quantum speedup hits a wall Regev proved the connection true Random noise makes cryptography new [Verse 3] NTRU rings and ideal forms McEliece with structured keys Post-quantum shelter from the storms When Grover cuts security by degrees The learning problem hides the answer In statistical noise that blocks each glancer [Chorus] SVP - the shortest vector problem calls Find the tiniest arrow through these walls LWE - learning with errors in disguise Noise protects what quantum can't comprise Lattice strong, quantum wrong This foundation will outlast the storm [Outro] When qubits threaten what we know And factoring becomes a breeze The lattice keeps our secrets below In geometric mysteries The shortest vector stays unfound While cryptography stays safe and sound
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