Determining deep holes is an important topic in decoding Reed-Solomon codes. In a previous paper [8], we showed that the received word u is a deep hole of the standard Reed-Solomon codes [q− 1, k]q if its Lagrange interpolation polynomial is the sum of monomial of degree q− 2 and a polynomial of degree at most k− 1. In this paper, we extend this result by giving a new class of deep holes of the...

We propose to reduce the decoding complexity of polar codes with non-Arikan kernels by employing a (near) ML decoding algorithm for the codes generated by kernel rows. A generalization of the order statistics algorithm is presented for soft decoding of Reed-Solomon codes. Algebraic properties of the Reed-Solomon code are exploited to increase the reprocessing order. The obtained algorithm is us...

Reed nevus (pigmented spindle cell nevus) is a nevus with the histopathological features of abundant melanin, monomorphic spindle-epithelioid melanocytes, spindle cell nests confined within the epidermis and papillary dermis, and occasional upward interepidermal progression of melanocytes. Here, we reported an unusual case of Reed nevus in an 11-month-old Japanese male infant. Infantile Reed ne...

This paper presents algorithm to find minimal Fixed Polarity Reed-Muller expressions, twolevel fixed polarity AND-EXOR canonical representations, for incompletely specified Boolean functions that based on information measures on decision trees. We study the Free Reed-Muller Tree as acceptable representation and manipulation structure to find minimal Fixed Polarity Reed-Muller expressions. In co...

395 Abstract—Reed-Solomon Codes are popularly used for error correction in many applications like storage devices (CD, DVD), wireless communications, high speed modems and satellite communications. In this paper, a modified scheme for programmable generator polynomial based Reed-Solomon encoder and decoder has been proposed. The works reported in this paper corrects errors in derived equations ...

In this correspondence we describe a class of codes over GF (q), where q is a power of an odd prime. These codes are analogues of the binary Reed-Muller codes and share several features in common with them. We determine the minimum weight and determine properties of these codes. For a subclass of codes we find the weight distribution and prove that the minimum nonzero weight codewords give 1-de...

Reed-Sternberg cells in the lymph nodes from five patients with Hodgkin's disease were studied. Indirect immunofluorescence on fixed sections with a monospecific anti-serum to fibronectin revealed abundant cytoplasmic fibronectin in approximately 90% of the Reed-Sternberg cells. In addition, the cells were shown by immunofluorescence to contain polyclonal IgG; however, factor VIII antigen, albu...

Plasmid: First Report of mcr-1 in the United States Patrick McGann, Erik Snesrud, Rosslyn Maybank, Brendan Corey, Ana C. Ong, Robert Clifford, Mary Hinkle, Timothy Whitman, Emil Lesho, Kurt E. Schaecher Multidrug-resistant Organism Repository and Surveillance Network, Walter Reed Army Institute of Research, Silver Spring, Maryland, USA; Department of Infectious Diseases, Walter Reed National Mi...

BACKGROUND It is unclear whether pigmented Spitz and Reed nevi are distinct morphologic entities or part of the spectrum of Spitz nevi. METHODS In a retrospective observational study we analyzed dermatopathologic slides of 22 cases with clinical and dermatoscopic features indicative of pigmented Spitz or Reed nevus in a blinded fashion according to predefined criteria and subsequently correla...

BACKGROUND Hodgkin's lymphoma is characterized by the presence of mono-nucleated Hodgkin cells and bi- to multi-nucleated Reed-Sternberg cells. We have recently shown telomere dysfunction and aberrant synchronous/asynchronous cell divisions during the transition of Hodgkin cells to Reed-Sternberg cells.1 DESIGN AND METHODS To determine whether overall changes in nuclear architecture affect ge...