With this paper, we propose a network coding based cloud storage scheme. The storage system is in the form of an m * n data array. The n columns stand for n storage nodes, which are comprised of a part of systematic nodes storing source symbols and a part of nonsystematic nodes storing parity symbols. Every row of the data array is a (n, k) systematic Maximum Distance Separable (MDS) code. A so...

In this paper, trellis coded modulation (TCM) schemes are designed using recursive encoders over Galois field GF(2). These encoders are designed using the nonlinear left-circulate (LCIRC) function. The LCIRC function performs a bit left circulation over the representation word. Different encoding rates are obtained for these encoders when using different representation word lengths at the input...

In the context of object-based image compression, shape encoders that describe the contour of the objects, called chain codes, tend to be more efficient than that the one based on bitmap, which is the MPEG-4 Part 2 framework. Among the chain codes, those based on grid cells are expected to outperform the ones that employ a symbol to code each particular boundary pixel. This paper presents a los...

In the development of encoding algorithms for image, video, and other mixed media transmissions, it is important to note that the channel “seen” by the applications is the physical channel as modified by the error-correcting mechanisms used at the physical level. Therefore, the statistics of the residual error process is relevant to the design of encoding algorithms. In this paper, we study the...

In this paper, phase shift keying – trellis coded modulation (PSK-TCM) schemes are designed using recursive systematic convolutional (RSC) encoders over Galois field GF(2 N ). These encoders are designed using the nonlinear leftcirculate (LCIRC) function. The LCIRC function performs a bit left circulation over the representation word. Different encoding rates are obtained for these encoders whe...

Prior research has suggested that the identification and encoding of letter positions within strings might be influenced by orthography. Letters in transparent languages (e.g., Greek) with regular grapheme-to-phoneme correspondences are processed sequentially, whereas letters deep English) parallel. In three experiments, we used a visual search paradigm to test this hypothesis on Russian—a rela...

We present a new class of array codes based on a generalization of the RAID5 XOR parity code. The R5X0(n, r, p) code protects an array of n data disks and p parity disks with r symbols per column from as many as p arbitrary column erasures. Decoding and encoding in R5X0 is computed using only XOR and cyclic shift operations. R5X0 is a simple geometric generalization of RAID5 and has optimal upd...

What’s the difference? Transformation is when something is turned into something else, as in the conversion of carbohydrates to sugar during digestion. Encoding is transformation into a code that carries information and can be decoded, as in the transformation of a text message into Morse code. The term ‘representation’ is used in many senses, but is generally understood as a process in which s...