The integration of network coding with algebraic coding theory has significantly advanced the efficiency and reliability of communication systems. At its core, network coding involves the intelligent ...

Coding, information theory and compression constitute the backbone of modern digital communications and data storage. Grounded in Shannon’s seminal work, information theory quantifies the ...

In 1950 Bell Labs researcher Richard W. Hamming made a discovery that would lay an important foundation for the entire modern computing and communications industries. He had invented a code for ...

The University of Colorado Center for Number Theory has interests spanning number theory, from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic ...

OpenAI’s latest large language model has been specifically designed for reasoning and is capable of generating code to a much higher standard than previous models. The ChatGPT-o1-Preview model ...