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1

Akshay Kumar Vyas, Ram Milan Singh, Amar Deep Singh,

Abstract:
The algebraic study of Dihedral group of Algebra is the study by which it is relating to abelion group, cyclic group, normal group. We develop a comprehensive framework integrating advanced geometric invariants, rigorous theorems, and computational validations, supported by vibrant, multi-colored visualizations. The various application of Dihedral group can be easily understood by my paper. Our findings reveal intricate symmetry distributions across 3D volumes, offering profound implications for fields such as computational topology, robotic kinematics, and materials science. By synthesizing algebraic rigor with spatial intuition, this work establishes a transformative paradigm for symmetry studies, poised to inspire groundbreaking interdisciplinary research.


1-5
2

Dr. Anandi Mahajan

Abstract:
The rapid advancement of quantum computing threatens classical cryptographic schemes by potentially rendering widely used public key algorithms insecure. Quantum Cryptography harnesses principles of quantum mechanics to provide provably secure key distribution and communication. In particular, Quantum Key Distribution (QKD) enables two parties to share secret keys with security guarantees based on quantum physics principles rather than computational complexity. This paper reviews the latest developments in quantum cryptography, presents a comprehensive analysis of QKD protocols, explores practical implementation challenges, evaluates performance characteristics, and discusses future research directions for integrating QKD with classical and post quantum cryptography for real world secure communication systems.


6-10
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