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m-continued Fraction Expansions of Multi-Laurent Series

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【Author】 DAI Zong-duo WANG Kun-peng YE Ding-feng(State Key Laboratory of Information Security, Graduate School of Chinese Academy of Science, Beijing, 100039, P. R. China)

【机构】 State Key Laboratory of Information Security； Graduate School of Chinese Academy of Science； Beijing； 100039； P. R. China； P. R. China；

【摘要】 <正> The simple continued fraction expansion of a single real number gives the best solution to its rational approximation problem. A multidimensional generalization of the simple continued fraction expanding procedure is the Jacobi-Perron algorithm （JPA）. This algorithm and its modifications are borrowed to study the multi-rational approximation problem over the formal Laurent series field F((z^-1)), which is related to the multi-sequence synthesis problem in the field of communication and cryptography, but none of these algorithms guanrantee the best更多还原

【关键词】 Laurent； cryptography； continued； rational； generalization； expanding； Jacobi； formal；数学进展； diagonal；

【基金】 This work is partly supported by NSFC(No. 60173016);the National 973 Project(No.1999035804)

【文献出处】数学进展 ,Advances In Mathematics , 编辑部邮箱 ,2004年02期

【分类号】TN918.1
【被引频次】4
【下载频次】50

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