The concept of combining security and error control codes is appealing, especially in applications where latency is a concern, or resources are limited. However, there are many difficulties in combining these two coding paradigms. Often, security and error control work at cross-purposes to each other, making combined schemes based on existing security models difficult to develop. Thus, most of ...

We study single error-correcting codes for the asymmetric channel with input and output alphabets being {0, 1 ..... a 1/. From an abe|ian group G of order N with elements go = O, gl ..... gN 1, Constantin and Rao (1979, Inform. Contr. 40, 20-36) define Vg = {(b~, b2 ..... bN1) C {0, 1 ..... a -1 }N-I I Z~-,' b~gi = g} and show that Vg correct single errors. We give explicit expressions for the ...

We investigate the theory of the finite Heisenberg-Weyl group in relation to the development of adaptive radar and to the construction of spreading sequences and error-correcting codes in communications. We contend that this group can form the basis for the representation of the radar environment in terms of operators on the space of waveforms. We also demonstrate, following recent developments...

The application of forward-error-correcting codes to data organized as multiple, independent multimedia objects and encoded with modern embedded coders is investigated. Capitalizing on the strict importance-ordering characteristic of embedded encodings, the strength of the error protection is optimized such that data that is more important to the reconstructed quality of the dataset is assigned...

This paper investigated the relationship between expected inflation and nominal interest rates in Nigeria and the extent to which the Fisher effect hypothesis holds, for the period 1970-2012. We attempted to advance the field by testing the traditional closed-economy Fisher hypothesis and an augmented Fisher hypothesis by incorporating the foreign interest rate and nominal effective exchange ra...

The imbalances between investment financing and domestic savings in terms of providing sufficient capital are an obstacle to implementing economic development Indonesia. Therefore, the flow foreign is indispensable, one which by portfolio order increase market liquidity as a source development. This study aims analyze response influence gross product variables, inflation, exchange rates, intere...

An efficient coding circuit is given for the perfect quantum-error correction of a single quantum bit ~qubit! against arbitrary one-qubit errors within a five-qubit code. The circuit presented employs a double ‘‘classical’’ code, i.e., one for bit flips and one for phase shifts. An implementation of this coding circuit on an ion-trap quantum computer is described that requires 26 laser pulses. ...

Suppose for simplicity that our system consists of a single qubit. We start with errors we are familiar with from the classical setting – bit-flips. Such an error converts the original state, say α|0〉+β |1〉, into α|1〉+β |0〉. We can correct these kind of errors using classical error correcting codes. For example, we may use a repetition code, i.e., encoding |0〉 as |000〉 and |1〉 as |111〉. Thus, w...

In this paper “Protecting data against isolated defects and soft errors using low delay single error correction codes” we proposed memories can be protected from soft errors by using error correction codes. Single error correction (sec) codes correct 1-bit error per word. In some condition, SEC codes are extended to detect double error are known as single error correction double error detection...