the rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. for noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. in this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, generaliz...

This study aimed to discover the insight of error correction by implementing two correction systems on three Iranian university students. The three students were invited to write four in-class essays throughout the semester, in which their verb errors and individual-selected errors were corrected using the Code Correction System and the Individual Correction System. At the end of the study, the...

The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. For noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. In this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, Generaliz...

In this paper, a new steganography scheme with high embedding payload and good visual quality is presented. Before embedding process, secret information is encoded as block using Reed-Muller error correction code. After data encoding and embedding into the low-order bits of host image, modulus function is used to increase visual quality of stego image. Since the proposed method is able to embed...

In digital communication forward error correction methods have a great practical importance when channel is noisy. Convolutional error correction code can correct both type of errors random and burst. Convolution encoding has been used in digital communication systems including deep space communication and wireless communication. The error correction capability of convolutional code depends on ...

The Hamiltonian model of quantum error correction code in the literature is often constructed with the help of its stabilizer formalism. But there have been many known examples of nonadditive codes which are beyond the standard quantum error correction theory using the stabilizer formalism. In this paper, we suggest the other type of Hamiltonian formalism for quantum error correction code witho...

single faults in a data word, they cannot correct double bit errors caused by single the single error correction and double-error detection codes to provide. Official Full-Text Publication: Double Bits Error Correction Using CRC Method on that is able to detect the exact place of double bits error and correct them. for double and single bits error correction using Cycle Redundancy Code. a Singl...

Use of an error correction code in a given transmission channel can be regarded as the statistical experiment. Therefore, powerful results from the theory of comparison of experiments can be applied to compare the performances of different error correction codes. We present results on the comparison of block error correction codes using the representation of error correction code as a linear ex...