Univariate Polynomials are mathematical expressions involving a single variable raised to various non-negative integer powers, multiplied by coefficients. These polynomials are foundational in algebra and have applications in cryptography, particularly in constructing certain types of proofs and cryptographic primitives. Their simplicity allows for efficient mathematical operations.
Context
Univariate polynomials are a technical concept that underpins certain cryptographic techniques discussed in crypto news, especially concerning the theoretical foundations of zero-knowledge proofs. While seemingly basic, their properties are leveraged in complex protocols to ensure data integrity and privacy in decentralized systems. Their role is fundamental to the mathematical rigor of modern cryptography.
Equifficient Polynomial Commitments are a new primitive that enforces polynomial basis representation, enabling SNARKs with 160-byte proofs and triple-speed proving.
Equifficient Polynomial Commitments introduce a new cryptographic primitive that separates linear and nonlinear constraints, setting the new frontier for zk-SNARK efficiency.
Equifficient polynomial commitments introduce a new cryptographic primitive to drastically reduce SNARK prover time and proof size, enhancing verifiable computation scalability.
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