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, ...
The CEC1-66/2112 core implements the codec for the Forward Error Correction (FEC) cyclic code (2112,2080) used in the IEEE 802.3ap (10G Backplane Ethe ...
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 ...
1. Basic Information and Coding Theorems: entropy, Huffman Codes, Mutual Information, Channel Capacity, Shannon’s theorems; 2. Error Control Coding: Coding ...
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