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Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 17th International S Serdar Boztaş,Hsiao-Feng (Francis) Lu Conference pro

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https://doi.org/10.1007/978-3-319-47821-0 papers [12,8] closed the gap in our knowledge about combinatorial and algorithmic limitations of list decoding (for codes over large alphabets). This article surveys these latter algorithmic progress.
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Modeling Energy Price Volatilitythan Tardos code, especially in the case of fewer pirates. For example, the ratio of our length relative to Tardos code in some practical situation with 4 pirates is 4.33%; while the lowest among the preceding codes in this case (S̆korić et al., 2007) is 9.87%.
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Iterative List Decoding of LDPC Codes.g. [3] and the references therein. “Good“ LDPC codes are often randomly generated by computer, but recently codes with an algebraic or geometric structure have also been considered e.g [3] and [4]. The performance of the iterative decoder is typically studied by simulations and a theoretical analysis is more difficult.
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A Survey of Recent Attacks on the Filter Generatorfeedback shift registers over an extension field .(2.). Some extensions and improvements of the attacks to the filter generator have been given by Rønjom, Gong and Helleseth. The purpose of this paper is to give a short overview of these attacks and to discuss how to extend these attacks to the nonlinear combiner generator.
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Efficient List Decoding of Explicit Codes with Optimal Redundancy papers [12,8] closed the gap in our knowledge about combinatorial and algorithmic limitations of list decoding (for codes over large alphabets). This article surveys these latter algorithmic progress.
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Nice Codes from Nice Curveseir genus (more precisely, these curves attain the so-called Drinfeld-Vladut bound). Starting with such a sequence of curves and using Goppa’s construction of algebraic geometry (AG) codes, one easily obtains sequences of linear codes whose limit parameters beat the Gilbert-Varshamov bound.
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