Cryptographic lattices are mathematical structures used in the field of cryptography to create secure encryption methods. They consist of points in multi-dimensional space arranged in a regular grid-like pattern, which allows for complex mathematical operations. These lattices are particularly valued for their resistance to attacks from quantum computers, making them a promising foundation for post-quantum cryptography. In cryptography, lattice-based schemes can be used for various applications, including secure communication and digital signatures. Notable examples of lattice-based cryptographic systems include NTRU and Learning With Errors (LWE). These systems leverage the hardness of certain mathematical problems related to lattices to ensure security against potential threats.