کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4583505 1333908 2008 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the code generated by the incidence matrix of points and k-spaces in PG(n,q) and its dual
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the code generated by the incidence matrix of points and k-spaces in PG(n,q) and its dual
چکیده انگلیسی

In this paper, we study the p-ary linear code Ck(n,q), q=ph, p prime, h⩾1, generated by the incidence matrix of points and k-dimensional spaces in PG(n,q). For k⩾n/2, we link codewords of Ck(n,q)∖Ck⊥(n,q) of weight smaller than 2qk to k-blocking sets. We first prove that such a k-blocking set is uniquely reducible to a minimal k-blocking set, and exclude all codewords arising from small linear k-blocking sets. For k

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 14, Issue 4, November 2008, Pages 1020-1038