Linear Error-Block Codes and Applications - Rabiî Dariti
-20% with code BOOKS
Shipping in 12-18 days
30-day return policy
Linear error-block (LEB) codes are a generalization of linear error correcting codes, introduced in 2006. We study the concept of LEB codes and give some of their essential properties. We construct new families of perfect and MDS LEB codes. We show that the correction capacity of LEB codes is slightly better than classical codes. Primitive decoding algorithms (standard array and syndrome decoding) are reada ... Full description
You May Also Like
TOP
Biology: A Global Approach, Global Edition
Neil Campbell, Rebecca Orr, Lisa Urry, Peter Minorsky, Michael Cain, Jane Reece, Steven Wasserman
-20% with code BOOKS
In stock at our supplier
TOP
Six Not-so-easy Pieces: Einstein's Relativity, Symmetry, and Space-Time
Richard P. Feynman, Robert B. Leighton, Matthew Sands
-20% with code BOOKS
In stock at our supplier
TOP
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Richard P. Feynman, Robert B. Leighton, Matthew Sands
-20% with code BOOKS
In stock at our supplier
TOP
Behave: The Biology of Humans at Our Best and Worst
-20% with code BOOKS
In stock at our supplier
TOP
Determined: The Science of Life Without Free Will
-20% with code BOOKS
In stock at our supplier
TOP
Why Machines Learn: The Elegant Maths Behind Modern AI
-20% with code BOOKS
In stock at our supplier
TOP
The Age of Alchemy: How Early Innovators Shaped Modern Chemistry
-20% with code BOOKS
In stock at our supplier
TOP
The Secrets of our DNA: How Genetics has Changed the World
-20% with code BOOKS
In stock at our supplier
TOP
Janeway's Immunobiology
Leslie J. Berg, Kenneth Murphy, Casey Weaver
-20% with code BOOKS
In stock at our supplier
TOP
Why We Sleep: Unlocking the Power of Sleep and Dreams
-20% with code BOOKS
In stock
TOP
Factfulness: Ten Reasons We're Wrong About the World--and Why Things Are Better Than You Think
Ola Rosling, Anna Rosling Rönnlund, Hans Rosling
-20% with code BOOKS
In stock at our supplier
TOP
The Light Eaters: How the Unseen World of Plant Intelligence Offers a New Understanding of Life on Earth
-20% with code BOOKS
In stock at our supplier
TOP
The Rise and Fall of the Dinosaurs: A New History of a Lost World
-20% with code BOOKS
In stock at our supplier
TOP
The Rise and Reign of the Mammals: A New History, from the Shadow of the Dinosaurs to Us
-20% with code BOOKS
In stock at our supplier
TOP
Learn Faster, Perform Better: A Musician's Guide to the Neuroscience of Practicing
-20% with code BOOKS
In stock at our supplier
TOP
Beyond Inheritance: Our Ever-Mutating Cells and a New Understanding of Health
-20% with code BOOKS
In stock at our supplier
TOP
The Feynman Lectures on Physics. The New Millennium Edition
Matthew Sands, Robert Leighton, Richard Feynman
-20% with code BOOKS
In stock at our supplier
TOP
How to Solve it: A New Aspect of Mathematical Method
-20% with code BOOKS
In stock at our supplier
Description
Linear error-block (LEB) codes are a generalization of linear error correcting codes, introduced in 2006. We study the concept of LEB codes and give some of their essential properties. We construct new families of perfect and MDS LEB codes. We show that the correction capacity of LEB codes is slightly better than classical codes. Primitive decoding algorithms (standard array and syndrome decoding) are readapted to this kind of codes. Moreover, we present some families of LEB codes which admit fast decoding algorithms. Also, we generalize some results on the packing and the covering radii to the error-block case. We study their properties when a LEB code undergoes some specific modifications and combinations with another LEB code. Various bounds are developed from the classical coding theory and more efficient codes are obtained using these bounds. We introduce a matrix notion of cyclic and quasi-cyclic LEB codes. We end by giving new applications in cryptography and in steganography based on LEB codes.
More Information
| Author | Rabiî Dariti |
|---|---|
| Publisher | LAP LAMBERT Academic Publishing |
| Release year | 2019 |
| Cover type | Softcover |
| EAN | 9783330018563 |