The theory of error-correcting codes: algebra and information

In the face of the omnipresence of digital exchanges and the growing complexity of communication systems in 2025, error-correcting code theory plays a crucial role in data protection and reliability. It relies on advanced concepts from linear algebra and abstract algebra to detect and correct errors introduced during transmission over noisy channels. Indeed, noises, interferences, … Read more

Maxwell’s demon: paradox between thermodynamics and information

In the abundant landscape of fundamental physics, few thought experiments raise as many questions as that of the Maxwell’s demon. Emerging in the second half of the 19th century, this abstract proposition challenges the very heart of thermodynamics and its principles. It highlights a fascinating tension: that between the underlying order of the universe and … Read more

The entropy of black holes and information

Since the 1970s, the study of black holes has profoundly transformed the understanding of entropy, a fundamental concept in thermodynamics, by tying it to the most mysterious astrophysical objects in the universe. The revelation that these strange regions of spacetime can possess entropy, measuring the amount of information they contain, has not only opened new … Read more