Zemor's decoding algorithm is a decoding method primarily used for certain types of error-correcting codes known as low-density parity-check (LDPC) codes, as well as for specific algebraic and combinatorial codes. Named after J. Zemor, the algorithm is designed to efficiently recover the original information from a received codeword that may contain errors due to noise in communication channels.
Zigzag code, also known as zigzag encoding, is a technique used primarily in data compression and error correction, particularly in contexts like run-length encoding or within certain video and image compression standards such as JPEG encoding. The main concept of zigzag coding is to traverse a two-dimensional array (like an 8x8 block of pixels in an image) in a zigzag manner, rather than in a row-major or column-major order.
The Zyablov bound is a concept in the field of combinatorial design and coding theory, particularly related to covering designs. Named after the Russian mathematician Alexander Zyablov, the bound provides a limit on the number of blocks in a covering design given certain parameters. In more formal terms, the Zyablov bound applies to the problem of covering a finite set with subsets (or blocks) such that every element of the set is contained in at least a specified number of blocks.