Group divisible codes and their application in the construction of optimal constant-composition codes of weight three
The concept of group divisible codes, a generalization of group divisible designs with constant block size, is introduced in this paper. This new class of codes is shown to be useful in recursive constructions for constant-weight and constant-composition codes. Large classes of group divisible codes...
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| المؤلفون الرئيسيون: | , , |
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| التنسيق: | مقال |
| اللغة: | English |
| منشور في: |
2009
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://hdl.handle.net/10356/92225 http://hdl.handle.net/10220/6042 http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:EBSCO_APH&id=doi:&genre=&isbn=&issn=00189448&date=2008&volume=54&issue=8&spage=3552&epage=3564&aulast=Yeow&aufirst=Meng%20Chee&auinit=&title=IEEE%20Transactions%20on%20Information%20Theory&atitle=Group%20Divisible%20Codes%20and%20Their%20Application%20in%20the%20Construction%20of%20Optimal%20Constant%2DComposition%20Codes%20of%20Weight%20Three%2E |
| الوسوم: |
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| المؤسسة: | Nanyang Technological University |
| اللغة: | English |
| الملخص: | The concept of group divisible codes, a generalization of group divisible designs with constant block size, is introduced in this paper. This new class of codes is shown to be useful in recursive constructions for constant-weight and constant-composition codes. Large classes of group divisible codes are constructed which enabled the determination of the sizes of optimal constant-composition codes of weight three (and specified distance), leaving only four cases undetermined. Previously, the sizes of constant-composition codes of weight three were known only for those of sufficiently large length. |
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