Definition ∞ Trapdoored matrices are special types of matrices used in cryptography that possess a hidden “trapdoor” allowing for efficient computation of an inverse or other related operations. While generating such a matrix is easy, performing the inverse operation without the trapdoor is computationally hard. They are foundational to certain public-key cryptosystems.
Context ∞ Trapdoored matrices are primarily discussed in advanced cryptographic research, particularly concerning lattice-based cryptography, which is a candidate for post-quantum security. News about the development of new encryption standards or the potential impact of quantum computers on current blockchain security might reference these mathematical structures. Their utility lies in constructing encryption schemes that are resistant to future computational threats.