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Titlebook: Difference Sets, Sequences and their Correlation Properties; A. Pott,P. V. Kumar,D. Jungnickel Book 1999 Springer Science+Business Media D

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書目名稱Difference Sets, Sequences and their Correlation Properties
編輯A. Pott,P. V. Kumar,D. Jungnickel
視頻videohttp://file.papertrans.cn/279/278617/278617.mp4
叢書名稱Nato Science Series C:
圖書封面Titlebook: Difference Sets, Sequences and their Correlation Properties;  A. Pott,P. V. Kumar,D. Jungnickel Book 1999 Springer Science+Business Media D
描述The explanation of the formal duality of Kerdock and Preparata codes is one of the outstanding results in the field of applied algebra in the last few years. This result is related to the discovery of large sets of quad- riphase sequences over Z4 whose correlation properties are better than those of the best binary sequences. Moreover, the correlation properties of sequences are closely related to difference properties of certain sets in (cyclic) groups. It is the purpose of this book to illustrate the connection between these three topics. Most articles grew out of lectures given at the NATO Ad- vanced Study Institute on "Difference sets, sequences and their correlation properties". This workshop took place in Bad Windsheim (Germany) in August 1998. The editors thank the NATO Scientific Affairs Division for the generous support of this workshop. Without this support, the present collection of articles would not have been realized.
出版日期Book 1999
關(guān)鍵詞Permutation; Phase; Signal; algebra; coding; coding theory; patterns; radio; sets; tables; combinatorics
版次1
doihttps://doi.org/10.1007/978-94-011-4459-9
isbn_softcover978-0-7923-5959-3
isbn_ebook978-94-011-4459-9Series ISSN 1389-2185
issn_series 1389-2185
copyrightSpringer Science+Business Media Dordrecht 1999
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Kasami Power Functions, Permutation Polynomials and Cyclic Difference Sets,l the equivalence of a class of permutation polynomials (say “Kasami” permutation polynomials), considered to derive the APN property of Kasami power functions, and the well-known class of MCM permutation polynomials. Explicit and recursive formulae for the polynomial representations of the inverses
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,Lander’s Tables are Complete!, abelian group ., the parameters of a putative difference set . in . with cardinality ., whether . exists or not, a construction when . does exist, and a nonexistence proof when . does not exist. At time of publication there were some 25 entries which were open, i.e. the existence or nonexistence of
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