This paper introduces a new family of error – correction unordered (ECU) codes for global communication, called zero – sum. It is the combination of delay insensitive codes and fault tolerance of error correcting codes. Two important feature of this code are that they are systematic and weighted. For this code, a wide variety of weight assignments is used. Two enhancements are also proposed for...

Abst rac t Systematic recursive convolutional encoders have been shown to play a crucial role in the design and implementation ofparallel concatenated codes (“turbo codes77). We present here a canonical structure of minimal linear systematic rate k / n encoders and use it in the search for good constituent codes of parallel concatenated codes. Tables of the best encoders for various rates are a...

This paper presents some results on multiple error detection and correction based on the Redundant Residue Number System (RRNS). RRNS. Encoding and decoding, Mixed error detection and error correction R4.4, R*4.2. 3. Projective plane codes, Fano plane, quadratic residue codes R*4.3, Latin. Abstract: This paper presents an error detection and data recovery (EDDR) design, based on the residueand-...

One of the most widely used method of error detection and correction is Single Error Correction and Double Error Detection (SEC-DED) code. With any technology, there is a danger that information will be corrupted due to physical imperfections in storage media or electronic noise. So it is necessary to detect and correct such an erroneous data during transmission. Error detection and correction ...

We investigate the minimum distance of the error correcting code formed by the homomorphisms between two finite groups G and H. We prove some general structural results on how the distance behaves with respect to natural group operations, such as passing to subgroups and quotients, and taking products. Our main result is a general formula for the distance when G is solvable or H is nilpotent, i...

It is shown that the quantum error-correction can be acheived by the using of classical binary codes or additive codes over F4 (see [1],[2],[3]). In this paper with the help of some algebraic techniques the theory of algebraic-geometric codes is used to construct asymptotically good family of quantum error-correcting codes and other classes of good quantum error-correcting codes. Our results ar...

Lomont, Chris C.. Ph.D., Purdue University, May, 2003. Error Correcting Codes on Algebraic Surfaces. Major Professor: Tzuong-Tsieng Moh. Error correcting codes are defined and important parameters for a code are explained. Parameters of new codes constructed on algebraic surfaces are studied. In particular, codes resulting from blowing up points in P are briefly studied, then codes resulting fr...

We present quad-constellation (namely, GPS, GLONASS, BeiDou and Galileo) time group delay (TGD) and differential code bias (DCB) correction models to fully exploit the code observations of all the four global navigation satellite systems (GNSSs) for navigation and positioning. The relationship between TGDs and DCBs for multi-GNSS is clearly figured out, and the equivalence of TGD and DCB correc...