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On Four-negacirculant Self-Dual Code Over Some Prime Fields

Author: MengZuoQiong
Tutor: NanJiZuo
School: Dalian University of Technology
Course: Basic mathematics
Keywords: Linear code Self-dual codes MDS codes Negacyclic array The Four-negacirculant code
CLC: O157.4
Type: Master's thesis
Year: 2010
Downloads: 5
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Abstract


Digital communication more and more widely , the deepening of the information transmission mode change , the rapid increase in the amount of information passed in the communication , people on how to reduce transmission errors , to correct errors in the transmission of the demand is more and more urgent . Making coding the theory has very important significance . since special dual code makes self-dual codes has a wealth of academic value and is widely used in practice in the the generalized involution plot defined paper negative cycle array constructed self-dual codes on prime field , and these self- dual codes are classified as well as to identify the maximum minimum weight of these codes this way we can find the maximum distance separable codes , namely MDS codes .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Combinatorics ( combinatorics ) > Coding theory ( on behalf of the digital theory )
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