This project implements a Cyclic Code encoder and decoder for error detection and correction in digital communication systems. It specifically implements a (7,4 ...

Abstract: Any cyclic code over a finite field can be considered as a sum of some non-degenerate irreducible cyclic codes. We use the traditional trace function representation of irreducible cyclic ...

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 ...

Abstract: This paper designed and accomplished a codec system of the cyclic code. The encoding system was based on the principle of dividing circuit and the decoding system was based on the principle ...

Random Projection Code (RPC) is a mechanism that combines channel coding and modulation together and realizes rate adaptation in the receiving end. Random projection code’s mapping matrix has ...

Cyclic-banded-matrix is fortran 90+ source code for solving a system Ax=b with A represented by a cyclic band matrix, aka periodic band matrix, or cyclic/periodic banded matrix. These are all square ...

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 ...