Cyclic and constacyclic codes form a pivotal class of linear error‐correcting codes that are defined over finite fields. Their algebraic structure, characterised by ideals in polynomial quotient rings ...

Cyclic redundancy codes (CRC) are a type of checksum commonly used to detect errors in data transmission. For instance, every Ethernet packet that brought you the web page you’re reading now carried ...

This is a preview. Log in through your library . Journal Information SIAM Journal on Applied Mathematics contains research articles on mathematical methods and their applications in the physical, ...

We look at the construction of a particular subclass of cyclic codes known as the Bose-Chaudhuri-Hocquenghem (BCH) Codes. These codes are constructed with a prescribed minimum distance, which means ...

Editor's note: A few weeks ago, Programmable Logic DesignLine published an article on Gray code by an associate professor at the University of Arizona that directly addressed one of a series of Gray ...