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Algebra Commons

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Articles 1 - 4 of 4

Full-Text Articles in Algebra

The Vulnerabilities To The Rsa Algorithm And Future Alternative Algorithms To Improve Security, James Johnson Dec 2023

The Vulnerabilities To The Rsa Algorithm And Future Alternative Algorithms To Improve Security, James Johnson

Cybersecurity Undergraduate Research Showcase

The RSA encryption algorithm has secured many large systems, including bank systems, data encryption in emails, several online transactions, etc. Benefiting from the use of asymmetric cryptography and properties of number theory, RSA was widely regarded as one of most difficult algorithms to decrypt without a key, especially since by brute force, breaking the algorithm would take thousands of years. However, in recent times, research has shown that RSA is getting closer to being efficiently decrypted classically, using algebraic methods, (fully cracked through limited bits) in which elliptic-curve cryptography has been thought of as the alternative that is stronger than …


The Heisenberg Lie Algebra And Its Role In The Quantum Mechanical Harmonic Oscillator, Angelina Georg Nov 2023

The Heisenberg Lie Algebra And Its Role In The Quantum Mechanical Harmonic Oscillator, Angelina Georg

Algebra Seminar

No abstract provided.


Irreducible Representations Of Sl(2,C), Della Medovoy Nov 2023

Irreducible Representations Of Sl(2,C), Della Medovoy

Algebra Seminar

No abstract provided.


Lie Algebras And Lie Groups, Nhi Nguyen Nov 2023

Lie Algebras And Lie Groups, Nhi Nguyen

Algebra Seminar

No abstract provided.