کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10118343 1632852 2005 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On some self-dual codes and unimodular lattices in dimension 48
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
On some self-dual codes and unimodular lattices in dimension 48
چکیده انگلیسی
In this paper, binary extremal self-dual codes of length 48 and extremal unimodular lattices in dimension 48 are studied through their shadows and neighbors. We relate an extremal singly even self-dual [48, 24, 10] code whose shadow has minimum weight 4 to an extremal doubly even self-dual [48, 24, 12] code. It is also shown that an extremal odd unimodular lattice in dimension 48 whose shadow has minimum norm 2 relates to an extremal even unimodular lattice. Extremal singly even self-dual [48, 24, 10] codes with shadows of minimum weight 8 and extremal odd unimodular lattice in dimension 48 with shadows of minimum norm 4 are investigated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Combinatorics - Volume 26, Issue 5, July 2005, Pages 543-557
نویسندگان
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