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상호상관관계 함숫값이 4개인 Niho 타입의 새로운 데시메이션

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Abstract
In this thesis, we find the cross-correlation between a binary maximal length sequence and a special decimated sequence of that sequence by an integer . We will be interested in the values and the number of occurrences of each value attained by such cross-correlation function . The decimation considered is the special decimation , where , is even, is an integer such that and is an odd integer such that divides . It is proved that the cross-correlation takes on four values and the distribution of the cross-correlation values is also completely determined.
Author(s)
방문희
Issued Date
2013
Awarded Date
2013. 2
Type
Dissertation
Publisher
부경대학교
URI
https://repository.pknu.ac.kr:8443/handle/2021.oak/24851
http://pknu.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000001966230
Affiliation
부경대학교 교육대학원
Department
교육대학원 수학교육전공
Advisor
조성진
Table Of Contents
Abstract - iii
Ⅰ. 서론 - 1
Ⅱ. 배경지식 - 3
2.1. 트레이스 함수 - 3
2.2. 상호상관관계 함수 - 7
2.3. GF(q2)의 부분집합 - 8
Ⅲ. 상호상관관계 함숫값과 발생 횟수 분석 - 14
3.1. 3값 상호상관관계 함수 - 14
3.2. 4값 상호상관관계 함수 - 15
3.3. Niho의 데시메이션 - 15
3.4. Helleseth의 데시메이션 - 16
Ⅳ. 4값 상호상관관계 함숫값을 갖는 새로운 데시메이션 - 18
Ⅴ. 결론 - 30
참고문헌 - 31
Degree
Master
Appears in Collections:
교육대학원 > 수학교육전공
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