کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602376 1631170 2008 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On superregular matrices and MDP convolutional codes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On superregular matrices and MDP convolutional codes
چکیده انگلیسی

Superregular matrices are a type of lower triangular Toeplitz matrix that arises in the context of constructing convolutional codes having a maximum distance profile. These matrices are characterized by the property that the only submatrices having a zero determinant are those whose determinants are trivially zero due to the lower triangular structure. In this paper, we discuss how superregular matrices may be used to construct codes having a maximum distance profile. We also present an upper bound on the minimum size a finite field must have in order that a superregular matrix of a given size can exist over that field. This, in turn, gives an upper bound on the smallest field size over which an MDP (n,k,δ) convolutional code can exist.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issues 11–12, 1 June 2008, Pages 2585-2596