کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6423336 | 1342323 | 2015 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Some new resolvable GDDs with k=4 and doubly resolvable GDDs with k=3
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Some new resolvable GDDs with k=4 and doubly resolvable GDDs with k=3 Some new resolvable GDDs with k=4 and doubly resolvable GDDs with k=3](/preview/png/6423336.png)
چکیده انگلیسی
A doubly resolvable packing design with block size k, index λ, replication number r, and v elements is called a generalized Kirkman square and denoted by GKSk(v;1,λ;r). Existence of GKS3(4u;1,1;2(uâ1))s and GKS3(6u;1,1;3(uâ1))s is implied by existence of doubly resolvable group divisible designs with block size 3, index 1, and types 4u and 6u (i.e., (3,1)-DRGDDs of types 4u and 6u). In this paper, we establish the spectra of (3,1)-DRGDDs of types 4u and 6u with 15 and 31 possible exceptions, respectively. As applications, we get some new classes of permutation codes and doubly constant weight codes. We also construct 5 new resolvable GDDs with block size 4 and index 1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 338, Issue 11, 6 November 2015, Pages 2105-2118
Journal: Discrete Mathematics - Volume 338, Issue 11, 6 November 2015, Pages 2105-2118
نویسندگان
Juan Du, R. Julian R. Abel, Jinhua Wang,