Unlock the Secrets of Modern Cryptography and Coding Theory with Algebraic Geometry

In the ever-evolving landscape of digital communication and data security, the need for advanced coding and cryptography techniques has become paramount. Algebraic geometry, a branch of mathematics that studies geometric objects defined by polynomial equations, has emerged as a powerful tool for developing cutting-edge solutions in these fields.

Algebraic Geometry for Coding Theory and Cryptography: IPAM, Los Angeles, CA, February 2024 (Association for Women in Mathematics Series Book 9)

by Barry Ahern

5 out of 5

Language	:	English
File size	:	3627 KB
Print length	:	165 pages
Screen Reader	:	Supported

FREE

The book "Algebraic Geometry For Coding Theory And Cryptography" provides a comprehensive exploration of this fascinating intersection, offering readers a deep understanding of the mathematical principles underlying the latest advancements in coding and cryptography.

Coding Theory

Coding theory is concerned with the efficient and reliable transmission of information over noisy channels. Algebraic geometry offers a solid foundation for constructing powerful codes, which are mathematical structures that allow us to detect and correct errors in transmitted data.

This book covers a wide range of topics in coding theory, including:

• Linear codes and their algebraic structure
• Decoding algorithms and their complexity
• Applications of coding theory in digital communication and storage

Cryptography

Cryptography is the art of securing information from unauthorized access. Algebraic geometry provides a rich toolkit for developing cryptographic algorithms that are both secure and efficient.

In this book, you will delve into the mathematical foundations of cryptography, covering:

• Public-key cryptography and elliptic curve cryptography
• Digital signatures and authentication protocols
• Applications of cryptography in blockchain technology and secure communication

Algebraic Geometry

Algebraic geometry is a branch of mathematics that studies the geometry of algebraic varieties, which are sets of solutions to polynomial equations. This book provides a thorough to algebraic geometry, including:

• Affine and projective varieties
• Curves, surfaces, and hypersurfaces
• Group actions on algebraic varieties

"Algebraic Geometry For Coding Theory And Cryptography" is an invaluable resource for researchers, practitioners, and students interested in the intersection of these fields. With its comprehensive coverage, clear explanations, and insightful examples, this book empowers readers to explore the cutting-edge developments in coding theory and cryptography, and to develop innovative solutions for real-world applications.

Free Download your copy today to embark on an exciting journey into the world of algebraic geometry and its applications in modern coding theory and cryptography.

Algebraic Geometry for Coding Theory and Cryptography: IPAM, Los Angeles, CA, February 2024 (Association for Women in Mathematics Series Book 9)

by Barry Ahern

5 out of 5

Language	:	English
File size	:	3627 KB
Print length	:	165 pages
Screen Reader	:	Supported

FREE