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Construction Algorithm for Network Error-Correcting Codes Attaining the Singleton Bound

2006/10/31 by Ryutaroh Matsumoto · 2 citations
Computer Science · Engineering · Mathematics · #Advanced MIMO Systems Optimization #Advanced Wireless Communication Technologies #Cooperative Communication and Network Coding #cs.DM #cs.IT #cs.NI #math.IT

paper · pdf · doi:10.1093/ietfec/e90-a.9.1729

published as IEICE Trans. Fundamentals, vol. E90-A, no. 9, pp. 1729-1735, September 2007 · To appear in IEICE Trans. Fundamentals (http://ietfec.oxfordjournals.org/), vol. E90-A, no. 9, Sept. 2007. LaTeX2e, 7 pages, using ieice.cls and pstricks.sty. Version 4 adds randomized construction of network error-correcting codes, comparisons of the proposed methods to the existing methods, additional explanations in the proof

arxiv created 2007/05/09 · openalex publication_date 2007/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a centralized deterministic algorithm for constructing linear network error-correcting codes that attain the Singleton bound of network error-correcting codes. The proposed algorithm is based on the algorithm by Jaggi et al. We give estimates on the time complexity and the required symbol size of the proposed algorithm. We also estimate the probability of a random choice of local encoding vectors by all intermediate nodes giving a network error-correcting codes attaining the Singleton bound. We also clarify the relationship between the robust network coding and the network error-correcting codes with known locations of errors.

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