Essays on Coding Theory

Ian F. Blake is Honorary Professor in the Departments of Mathematics and Electrical and Computer Engineering at the University of British Columbia. He is a Fellow of the Royal Society of Canada, the Institute for Combinatorics and its Applications, the Canadian Academy of Engineers, and a Life Fellow of the IEEE. In 2000, he was awarded an IEEE Millennium Medal. He received his undergraduate degree at Queen's University and doctorate degree at Princeton University in 1967. He also worked in industry, spending sabbatical leaves with IBM and M/A-Com Linkabit, and working with the Hewlett-Packard Labs from 1996 to 1999. His research interests include cryptography and algebraic coding theory, and he has written several books in these areas.

'This book is an essential resource for graduate students, researchers, and professionals delving into contemporary topics in coding theory not always covered in textbooks. Each expertly-crafted essay offers a clear explanation of the fundamental concepts, summarizing key results with a consistent notation, and providing valuable references for further exploration.' Frank R. Kschischang, University of Toronto

• Preface; 1. Introduction; 2. Coding for erasures and fountain codes; 3. Low density parity check codes; 4. Polar codes; 5. Network codes; 6. Coding for distributed storage; 7. Locally repairable codes; 8. Locally decodable codes; 9. Private information retrieval; 10. Batch codes; 11. Expander codes; 12. Rank metric and subspace codes; 13. List decoding; 14. Sequences sets with low correlation; 15. Post-quantum cryptography; 16. Quantum error correcting codes; 17. Other types of coding; Appendix A: Finite geometries, linearized polynomials and Gaussian coefficients; Appendix B: Hasse derivatives and zeros of multivariate polynomials; References; Index.