Reed-Solomon Codes

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Related lectures (30)

Page 3 of 3

Interpolation: Problem Statement

Introduces the problem of interpolation and demonstrates challenges with adding more points.

Polynomials with Real Coefficients

Explores polynomials with real coefficients, complex roots, and sequences' properties.

Vector Spaces: Properties and Operations

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Algebraic Functions: Two Gendarmes

Explores algebraic functions, limits, and behavior as x approaches infinity.

Maps: Key-Value Associations

Covers maps as key-value data structures, including querying, updating, and handling missing values, with practical examples like polynomial representation.

Attack on RSA using LLL

Covers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.

Developing Cosine Composition

Explores the composition of Taylor expansions through an example, simplifying complex compositions to identify essential terms.

Harmonic Analysis: Properties and Consequences

Explores properties and consequences in harmonic analysis, including density and convergence.

Real Functions: Continuity

Covers the concept of real functions, focusing on continuity and the behavior of polynomials and ratios of polynomials.

Coppersmith's Method: Small Roots of Polynomials Mod N

Covers Coppersmith's method for finding small roots of polynomials modulo N efficiently.