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Edward Philips

May 29, 2025

What Are Elliptic Curves and Why Do They Matter in Crypto?

Elliptic curves, a sophisticated and elegant mathematical structure, have become a cornerstone of modern cryptography. Their properties offer unique advantages that can potentially revolutionize the way we approach secure communications and data protection in an increasingly digital world. This exploration ...

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Edward Philips

May 29, 2025

How Many Rational Points Can Exist on an Elliptic Curve?

Elliptic curves, an intriguing construct in the field of number theory and algebraic geometry, offer a rich landscape for exploration and inquiry, especially regarding their rational points. A rational point on an elliptic curve is defined as a point whose ...

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Edward Philips

May 29, 2025

How to Handle Digital Signatures in PDF Without Extra Software

Digital signatures are becoming increasingly crucial in our technology-driven world, serving as a robust mechanism for ensuring document authenticity. Yet, the perception that one must rely on additional software to handle these signatures can be misleading. In reality, it is ...

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Edward Philips

May 29, 2025

How to Build Your Own Encryption Algorithm (From Scratch to Secure)

Creating your own encryption algorithm can be both a daunting and exhilarating venture. In an age where data breaches are rampant and personal privacy is increasingly compromised, the ability to encode your communications and safeguard your information is invaluable. The ...

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Edward Philips

May 28, 2025

Brute Force Attacks: Are They Still Effective in 2025?

Brute force attacks, a method of breaking into systems by exhaustively guessing passwords and encryption keys, continue to be a significant concern in the digital realm. As we leap into 2025, one must ponder: are these attacks still as effective ...

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Edward Philips

May 28, 2025

Is Cryptography All Math? Where Statistics Come into Play

Cryptography, often perceived as an esoteric domain governed purely by mathematical principles, possesses a layer of complexity that extends far beyond the confines of arithmetic and algebra. This perception elicits an intriguing examination into the symbiotic relationship between mathematics and ...

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Edward Philips

May 28, 2025

What Is the NIST Framework in Cybersecurity?

The National Institute of Standards and Technology (NIST) Cybersecurity Framework is a comprehensive set of guidelines and practices designed to improve the security of organizations across various sectors. Formulated in response to the increasing incidence of cyberattacks, this framework is ...

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Edward Philips

May 28, 2025

How Are Encryption Keys Shared Over a Network Without Being Stolen?

The secure sharing of encryption keys over a network is a paramount challenge in the domain of cryptography. It is a sophisticated process that fundamentally relies on the principles of mathematics, computer science, and increasingly, quantum mechanics. The core dilemma ...

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Edward Philips

May 27, 2025

Impossibility in Its Purest Form: A Cryptographic Thought Experiment

Impossibility has a peculiar allure, manifesting in paradoxes and constructs that defy the boundaries of rational thought. It captivates the inquisitive mind, inviting deeper investigation into the mechanisms that govern our understanding of reality. One fascinating concept that embodies this ...

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Edward Philips

May 27, 2025

What Causes Data Integrity Issues in Encrypted Systems?

In today’s digital landscape, the increasingly prevalent use of encryption in safeguarding sensitive information is a cornerstone of data security. However, despite the robust mechanisms that encryption provides, an insidious question arises: What causes data integrity issues in encrypted systems? ...

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