After a discussion of the Griesmer and Heller bound for the distance of a convolutional code we present several codes with various parameters, over various fields, and meeting the given distance bounds. Moreover, the Griesmer bound is used for deriving a lower bound for the field size of an MDS convolutional code and examples are presented showing that, in most cases, the lower bound is tight. ...

.’ parallel concatenated convolutional coding scheme consists of two constituent systematic convolutional encoders linked by an interleaver. The information bits at the input of the first encoder are scrambled by the interleaver before entering the second encoder. The codewords of the parallel concatenated code consist of the information bits followed by the parity check bits of both encoders. ...

The IEEE 802.11g physical layer is based on coded orthogonal frequency division multiplexing (COFDM) using the industry standard [133 171] binary convolutional code. In the presence of Bluetooth interference this code struggles to provide good packet error rate (PER) performance. In this paper Turbo coding is considered as an alternative to convolutional coding. The results show that Turbo codi...

A Hybrid Automatic Repeat reQuest (HARQ), error control scheme based on a convolutional code for packet transmission over wireless channels was proposed. The analysis of the throughput and bit-error rate (BER) performance, according to the different constraint lengths (K=3 and K=4) and code rate (1/2 and 1/3) of convolutional codes on HARQ type I simulation scheme are presented. Certain error c...

In our previous work, we have proposed a hybrid typeII Automatic Repeat reQuest (ARQ) scheme (Scheme 5) based on the Rate Compatible Punctured Convolutional (RCPC) codes which performs significantly better than all the other ARQ schemes in all the channel conditions. In this work, we study the performance of Scheme 5 based on High Rate Optimized RCPC (HRO-RCPC) codes combined with simple repeti...

In order to enhance the reliability of digital transmissions, error correcting codes are used in every digital communication system. To meet the new constraints of data rate or reliability, new coding schemes are currently being developed. Therefore, digital communication systems are in perpetual evolution and it is becoming very difficult to remain compatible with all standards used. A cogniti...

We describe a quantum error correction scheme aimed at protecting a flow of quantum information over long distance communication. It is largely inspired by the theory of classical convolutional codes which are used in similar circumstances in classical communication. The particular example shown here uses the stabilizer formalism. We provide an explicit encoding circuit and its associated error...