In this paper, we address the question of whether the recent derandomization results obtained by the use of the low-degree long code can be extended to other product settings. We consider two settings: (1) the graph product results of Alon, Dinur, Friedgut and Sudakov [ADFS04] and (2) the “majority is stablest” type of result obtained by Dinur, Mossel and Regev [DMR09] and Dinur and Shinkar [DS...

Sherwood and Zeger proposed a source-channel coding system where the source code is an embedded bitstream and the channel code is a product code such that each row code is a concatenation of a cyclic redundancy check (CRC) and rate-compatible punctured convolutional codes (RCPC) and the column codes are Reed-Solomon (RS) codes. We improve this system for wireless applications by efficiently reo...

This paper illustrates how analog circuitry can be used to decode turbo and turbo-like codes. For ease of exposition, the focus is on a simple two dimensional product code comprised of a 2 by 2 array of (3,2) single parity check codes. It is shown that the heart of the decoder is a soft exclusive-or operation which is easily implemented in analog as a modified Gilbert multiplier. Finally, a com...

In a typical burst-error correction application of a product code of nv nh arrays, one uses an [nh; nh rh] code Ch that detects corrupted rows, and an [nv; nv rv] code Cv that is applied to the columns while regarding the detected corrupted rows as erasures. Although this conventional product code scheme o ers very good error protection, it contains excessive redundancy, due to the fact that th...

Virtual QR Code Stores are currently expanding globally and it is commonplace in the market to put emphasis on purely hedonic product assortments. This practice reflects the widespread assumption that hedonic products should be more effective to stimulate purchases because they facilitate impulse buying behavior. Contrary to this argumentation, the results of our study demonstrate that purchasi...

Large software product lines have complex build systems that enable compiling the source code into different products that make up the product line. Unfortunately, the dependencies among the available build options, which we refer to as features and their mapping to the source code they control, are implicit in complex imperative build-related logic. As a result, reasoning about dependencies is...

In magnetic recording channels, a standard code architecture consists of an outer Reed-Solomon code in concatenation with an inner parity code. The inner parity code is used to detect and correct commonly occurring error events. Generally, a parity code with short block length performs better, as multiple error events within one block and, consequently, miscorrection are less likely. In this pa...

Unit tests are generally acknowledged as an important aid to produce high quality code, as they provide quick feedback to developers on the correctness of their code. In order to achieve high quality, well-maintained tests are needed. Ideally, tests co-evolve with the production code to test changes as soon as possible. In this paper, we explore an approach to determine whether production and t...

It has long been conjectured that the canonical genetic code evolved from a simpler primordial form that encoded fewer amino acids [e.g., Crick, F. H. C. (1968) J. Mol. Biol. 38, 367-379]. The most influential form of this idea, "code coevolution" [Wong, J. T.-F. (1975) Proc. Natl. Acad. Sci. USA 72, 1909-1912], proposes that the genetic code coevolved with the invention of biosynthetic pathway...

This article proposes an original method for simulation code generation in discrete event systems. This method uses the product location information in the running system. The information flux (product id, location, time) is the starting point for the algorithm to generate a queuing network simulation model.