| THE DEGENERACY PROBLEM OF TWO-DIMENSIONAL LINEAR RECURRING ARRAYS |
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| 作者姓名： | HU Lei |
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| 作者单位： | Department of Mathematics，Guangzhou Normal University，Guangzhou 510405，China |
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| 摘 要： | 1.IntroductionInthepastthreedecadestwcadimensionalarrayswereextensivelystudiedsincetheycanbeusedintwo-dimensionalrange-finding,scramming,two-dimensionalcycliccodesandotherapplicationsincommunicationandcoding.Therearetwotypesoftwo-dimensionalarrays.Th...
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THE DEGENERACY PROBLEM OF TWO-DIMENSIONAL LINEAR RECURRING ARRAYS |
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| HU Lei.THE DEGENERACY PROBLEM OF TWO-DIMENSIONAL LINEAR RECURRING ARRAYS[J].Journal of Systems Science and Complexity,2000(1). |
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| Authors: | HU Lei |
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| Abstract: | The degeneracy degree and degeneracy position sets of a two-dimensional linear recurrence relation set are characterized. The fact that a linear recurring array is essentially a doubly periodic array is shown. By using the Grobner base theory, a calculation formula for degeneracy degree is gived and the existence of a special degeneracy position set is proved. In the present paper, the degeneracy problem of the two-dimensional linear recurring arrays is completely solved. |
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| Keywords: | Linear recurring array degeneracy degree degeneracy position set Grobner base theory |
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