Shift register sequences cover a broad range of applications, from radar signal design, pseudo-random number generation, digital wireless telephony, and many other areas in coded communications. It is ...

The original purpose of this repository is to hold a Lean4 formalization of the proof of the Polynomial Freiman-Ruzsa (PFR) conjecture of Katalin Marton (see also ...

This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the ...

Abstract: A communication or storage system may use a coset of a binary convolutional code for both symbol synchronization and error control. To facilitate symbol ...

We introduce a new free field representation of current algebras by considering the affine compact and non-compact groups G k = SU( N + M ) k , SU( N , M ) k and supergroups SU ( N M )k using cosets ...

Toroidal reduction of minimal six-dimensional supergravity, minimal five-dimensional supergravity and four-dimensional Einstein-Maxwell gravity to three dimensions gives rise to a sequence of cosets O ...

This degree combines the best aspects of the separate mathematics and physics degrees, offering enhanced flexibility, increased choice and the opportunity to pursue some of the most interesting and ...

Mathematics is the universal language of science and a beautiful subject in its own right. It is a discipline that also has important applications in industry and commerce, and well-qualified ...