Linear functions are mathematical relationships where the output is directly proportional to the input, represented graphically as a straight line. In cryptography and blockchain, they are used in various algorithms, including hash functions, error-correcting codes, and linear algebraic operations within zero-knowledge proofs. Their predictability and simplicity are leveraged in specific cryptographic constructions. These functions are foundational in constructing verifiable computations.
Context
Linear functions are integral to the underlying mathematical operations within many cryptographic schemes that secure digital assets and transactions. Their role in constructing efficient and verifiable proofs, such as those used in SNARKs and STARKs, is a subject of ongoing research and optimization. Understanding their application helps clarify the computational aspects of advanced blockchain technologies.
This new cryptographic primitive bridges the gap between atomic exchange and data privacy, allowing trustless, efficient sales of function evaluations without revealing the underlying secret data.
We use cookies to personalize content and marketing, and to analyze our traffic. This helps us maintain the quality of our free resources. manage your preferences below.
Detailed Cookie Preferences
This helps support our free resources through personalized marketing efforts and promotions.
Analytics cookies help us understand how visitors interact with our website, improving user experience and website performance.
Personalization cookies enable us to customize the content and features of our site based on your interactions, offering a more tailored experience.
