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New Asymptotically Optimal Periodic Quasi-complementary Sequence Sets with Small Alphabet Sizes from Permutation Polynomials 认领 引用
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作者 LIU Ruoxi WANG Yan WU Chenhuang 《数学进展》 CSCD 北大核心 2026年第4期938-954,共17页
Designing quasi-complementary sequence sets(QCSSs)with parameters that balance low periodic maximum correlation magnitude,large set size,and small alphabet size is an essential objective in multi-carrier code-division... Designing quasi-complementary sequence sets(QCSSs)with parameters that balance low periodic maximum correlation magnitude,large set size,and small alphabet size is an essential objective in multi-carrier code-division multiple-access(MC-CDMA).This paper proposed novel methods for constructing periodic QCSSs using permutation polynomials and difference sets over finite fields.By evaluating certain exponential sums,we establish that the proposed periodic QCSSs possess both large set sizes and small alphabet sizes.Furthermore,computational MAGMA program experiments demonstrate that our constructions can yield numerous asymptotically optimal periodic QCSSs. 展开更多
关键词 quasi-complementary sequence set asymptotically optimal permutation polynomial multi-carrier code-division multiple-access
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Application of the generalized quasi-complementary energy principle to the fluid-solid coupling problem 认领 引用 被引量：1
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作者 梁立孚 刘宗民 郭庆勇 《Journal of Marine Science and Application》 2009年第1期40-45,共6页
The fluid-solid coupling theory, an interdisciplinary science between hydrodynamics and solid mechanics, is an important tool for response analysis and direct design of structures in naval architecture and ocean engin... The fluid-solid coupling theory, an interdisciplinary science between hydrodynamics and solid mechanics, is an important tool for response analysis and direct design of structures in naval architecture and ocean engineering. By applying the corresponding relations between generalized forces and generalized displacements, convolutions were performed between the basic equations of elasto-dynamics in the primary space and corresponding virtual quantities. The results were integrated and then added algebraically. In light of the fact that body forces and surface forces are both follower forces, the generalized quasi-complementary energy principle with two kinds of variables for an initial value problem is established in non-conservative systems. Using the generalized quasi-complementary energy principle to deal with the fluid-solid coupling problem and to analyze the dynamic response of structures, a method for using two kinds of variables simultaneously for calculation of force and displacement was derived. 展开更多
关键词 fluid-solid coupling elasto-dynamics generalized quasi-complementary energy principle dynamic response
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