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THE DEGENERACY PROBLEM OF TWO-DIMENSIONAL LINEAR RECURRING ARRAYS

THE DEGENERACY PROBLEM OF TWO-DIMENSIONAL LINEAR RECURRING ARRAYS
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摘要 1.IntroductionInthepastthreedecadestwcadimensionalarrayswereextensivelystudiedsincetheycanbeusedintwo-dimensionalrange-finding,scramming,two-dimensionalcycliccodesandotherapplicationsincommunicationandcoding.Therearetwotypesoftwo-dimensionalarrays.Th... 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.
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 2000年第1期97-107,共11页
关键词 LINEAR recurring array DEGENERACY DEGREE DEGENERACY POSITION set GROBNER base theory. Linear recurring array, degeneracy degree, degeneracy position set, Grobner base theory.
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