Contributions to two-symbol orthogonal arrays of strength t and t+e constraints for e≦3 強さt、制約数t+e,e≦3の2-シンボル直交配列への貢献
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Bibliographic Information
- Title
-
Contributions to two-symbol orthogonal arrays of strength t and t+e constraints for e≦3
- Other Title
-
強さt、制約数t+e,e≦3の2-シンボル直交配列への貢献
- Author
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藤井, 淑夫
- Author(Another name)
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フジイ, ヨシオ
- University
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東京理科大学
- Types of degree
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理学博士
- Grant ID
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乙第324号
- Degree year
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1990-12-15
Note and Description
博士論文
Table of Contents
- Contents / p1 (0002.jp2)
- 0.Introduction and summary / p2 (0003.jp2)
- 1.Orthogonal arrays / p6 (0007.jp2)
- 2.A necessary and sufficient condition for the existence of two-symbol orthogonal arrays / p7 (0008.jp2)
- Part I.Two-symbol orthogonal arrays of strength t,t+3 constrains and index 6. / p9 (0010.jp2)
- 3.Solutions of 2-0A(t,m=t+3,⋋=6) for t=5,6 and 7 / p9 (0010.jp2)
- 4.Nonexistence of 2-0A(t ,m=t+3,⋋=6) for t≧8 / p16 (0017.jp2)
- APPENDIX1 / p22 (0023.jp2)
- Part II.Complete characterization of two-symbol orthogonal arrays of strength t,t+e constraints and index ⋋=[数式] for e≦3. / p26 (0027.jp2)
- 5.Classification of orthogonal arrays / p26 (0027.jp2)
- 5.1 Classification by column permutation / p27 (0028.jp2)
- 5.2 Classification by both symbol and column permutations / p47 (0048.jp2)
- Part III.Computational study on the classification of 2-0A(t,m=t+e,⋋) for e≦3. / p54 (0055.jp2)
- 6.Construction and determination of 2-0A(t,m,⋋) / p54 (0055.jp2)
- 6.1 A construction-program for 2-0A(t,m=t+e,⋋) / p57 (0058.jp2)
- 6.2 Determination of the number of isomorphic classes / p61 (0062.jp2)
- Acknowledgments / p64 (0065.jp2)
- APPENDIX2 / p65 (0066.jp2)
- References / p67 (0068.jp2)