Multilinear maps are mathematical functions that take multiple vector inputs and return a single scalar, preserving linearity in each argument when the others are held constant. They are fundamental in tensor algebra and have applications in cryptography, particularly in constructing advanced cryptographic protocols like multilinear maps-based cryptosystems.

Multilinear Maps

Multilinear maps

Mathematical functions describe a relationship between a set of inputs and a set of possible outputs, where each input is related to exactly one output. They are fundamental in understanding and modeling real-world phenomena across various scientific disciplines, providing a framework for solving equations and analyzing patterns.

mathematical functions

multiple vector inputs

single scalar

preserving linearity

Tensor algebra is a mathematical framework that extends linear algebra to multidimensional arrays called tensors, allowing for the manipulation and analysis of data across multiple dimensions. It is foundational in fields such as physics and machine learning, where it facilitates operations like tensor addition, multiplication, and contraction to model complex systems and processes.

tensor algebra

applications in cryptography

Cryptographic protocols are structured sequences of cryptographic operations that ensure secure communication and data exchange over networks. They encompass various techniques to provide confidentiality, integrity, authentication, and non-repudiation, forming the backbone of secure digital interactions.

Relevant Degrees

Your Lessons