import type { MultivariateProof, ProofParameters } from '../types/index.js';
export declare class MultivariateZKP {
    private static readonly DEFAULT_VARIABLES;
    private static readonly DEFAULT_EQUATIONS;
    private static readonly DEFAULT_DEGREE;
    private static readonly VERSION;
    static createProof(secret: Buffer | string, parameters?: Partial<ProofParameters>): MultivariateProof;
    static verifyProof(proof: MultivariateProof): boolean;
    private static generateMultivariateSystem;
    private static solveMultivariateSystem;
    private static createMultivariateCommitment;
    private static generateMultivariateChallenge;
    private static createMultivariateResponse;
    private static verifyPolynomialSolution;
    private static verifyMultivariateCommitment;
    private static verifyZeroKnowledge;
    private static serializePolynomialSystem;
    private static deserializePolynomialSystem;
    private static parsePolynomialData;
    private static validatePolynomialDimensions;
    private static buildPolynomialSystem;
    private static buildPolynomial;
    private static ensureValidSystem;
    private static createDefaultPolynomialSystem;
    private static validateProofStructure;
    static createOptimizedMultivariateSystem(secret: Buffer, variables: number, equations: number): Buffer;
    private static generateSparseCoefficients;
    private static shouldIncludeCoefficient;
    private static createSparsePolynomialSystem;
    static getPerformanceMetrics(): {
        generationTime: number;
        verificationTime: number;
        proofSize: number;
    };
    static getSecurityLevel(): {
        quantumResistant: boolean;
        classicalSecurity: number;
        quantumSecurity: number;
    };
}