In order to improve the decoding speed of the RRWBF algorithm, a multiple-bits selection mechanism was proposed to accelerate the decoding convergence speed of the RRWBF algorithm. However, the RRWBF algorithm with the multiple-bits selection mechanism will appear the bit-repeated flipping, which can impair the decoding performance of the RRWBF algorithm. Hence, a bit-repeated flipping elimination mechanism was proposed to reduce the bit-repeated flipping in the process of the multiple-bits flipping decoding. Simulation results show that the RRWBF algorithm with the multiple-bits selection and the repeated flipping elimination mechanism has a much faster decoding speed at the cost of a little decoding performance loss compared with the RRWBF algorithm.
What is the common thing between some integers and symmetries of an equilateral triangle? How studying rotations on a circle helps us understand quantum mechanics? Groups and their representations provide an amazing framework for many physics and chemistry theories. Understanding how certain groups act on physical systems, both classical and quantum, helps us to build models and make predictions. In this talk, we discover how abstract mathematical notions such as groups and representation theory and counterintuitive nature of quantum mechanics come together to guide us in our journey to explore the world we live in. This talk is designed to be accessible to any person with some understanding of calculus and a little bit of linear algebra.