کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776872 | 1413644 | 2017 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Infinite families of 2-designs and 3-designs from linear codes
ترجمه فارسی عنوان
خانواده های بی نهایت 2 طرح و 3 طرح از کدهای خطی
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
چکیده انگلیسی
The interplay between coding theory and t-designs started many years ago. While every t-design yields a linear code over every finite field, the largest t for which an infinite family of t-designs is derived directly from a linear or nonlinear code is t=3. Sporadic 4-designs and 5-designs were derived from some linear codes of certain parameters. The major objective of this paper is to construct many infinite families of 2-designs and 3-designs from linear codes. The parameters of some known t-designs are also derived. In addition, many conjectured infinite families of 2-designs are also presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 340, Issue 10, October 2017, Pages 2415-2431
Journal: Discrete Mathematics - Volume 340, Issue 10, October 2017, Pages 2415-2431
نویسندگان
Cunsheng Ding, Chengju Li,