Superstructure and Distorted-Wave Codes and Their Applications

Magentotactic bacteria and their applications

Magentotactic bacteria are the types of bacteria capable of orientation in an external magnetic field because of the ability to produce structures called magnetosomes. Magnetosomes, nanometer-scale structures, are present in most of the magnetotactice bacteria. They are intracellular organelles composed of magnetic iron mineral crystals individually surrounded by a phospholipid layer. Because o...

Sequential Methods and Their Applications

Unordered Error-Correcting Codes and their Applications

We give efficient constructions for error correcting unordered {ECU) codes, i.e., codes such that any pair of codewords are at a certain minimal distance apart and at the same time they are unordered. These codes are used for detecting a predetermined number of (symmetric) errors and for detecting all unidirectional errors. We also give an application in parallel asynchronous communications.

Some error-correcting codes and their applications

Error-correcting codes were first developed in the 1940s following a theorem of Claude Shannon [14] that showed that almost error-free communication could be obtained over a noisy channel. The message to be communicated is first “encoded”, i.e. turned into a codeword, by adding “redundancy”. The codeword is then sent through the channel and the received message is “decoded” by the receiver into...

Frequently Terminated Turbo Codes and Their Applications