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Intersection problem for the class o...
~
Auburn University.
Intersection problem for the class of quaternary Reed-Muller codes.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
書名/作者:
Intersection problem for the class of quaternary Reed-Muller codes.
作者:
Delgado Ortiz, Abel Ahbid Ahmed.
面頁冊數:
58 p.
附註:
Source: Dissertation Abstracts International, Volume: 70-12, Section: B, page: 7601.
Contained By:
Dissertation Abstracts International70-12B.
標題:
Mathematics.
標題:
Artificial Intelligence.
標題:
Computer Science.
ISBN:
9781109519983
摘要、提要註:
Given two codes C1 and C2 over an alphabet F, we denote the size of their intersection by eta( C1,C2 ), and call this the intersection number of C1 and C2 .
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3386192
Intersection problem for the class of quaternary Reed-Muller codes.
Delgado Ortiz, Abel Ahbid Ahmed.
Intersection problem for the class of quaternary Reed-Muller codes.
- 58 p.
Source: Dissertation Abstracts International, Volume: 70-12, Section: B, page: 7601.
Thesis (Ph.D.)--Auburn University, 2009.
Given two codes C1 and C2 over an alphabet F, we denote the size of their intersection by eta( C1,C2 ), and call this the intersection number of C1 and C2 .
ISBN: 9781109519983Subjects--Topical Terms:
172349
Mathematics.
Intersection problem for the class of quaternary Reed-Muller codes.
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Source: Dissertation Abstracts International, Volume: 70-12, Section: B, page: 7601.
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Adviser: Kevin T. Phelps.
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Given two codes C1 and C2 over an alphabet F, we denote the size of their intersection by eta( C1,C2 ), and call this the intersection number of C1 and C2 .
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In general the intersection problem can be stated as follows: given a family or class of families of codes, find the spectrum of intersection numbers. The general strategy to attack this kind of problem begins by finding necessary conditions for the intersection. This leads to lower and upper bounds or a set of possible intersection numbers. Secondly, finding the sufficient conditions implies giving specific constructions of codes in such a way that the cardinality of their intersection fits those values between these bounds.
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In this dissertation is presented a complete solution of the intersection problem for QRM (r, m). This includes the well-known quaternary Kerdock code, the Kerdock-like code and Preparata-like code.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3386192
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