Error correcting codes are used to describe explicit collections Fk of subsets of {1, 2,... n}, with IFkl > 2 ckn (ck > 0), such that for any selections A, B of kl and k 2 of members of Fk with kl + k2 = k, there are elements in all the members of A and not in the members of B. This settles a proble
A polynomial algorithm for constructing families of k-independent sets
β Scribed by G. Freiman; E. Lipkin; L. Levitin
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 1003 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
The present paper describes an algorithm for constructing families of k-independent subsets & of {1,2, . . . , n} with &I >2ck", where c, = d/(k -1)2& and d is a certain constant. The algorithm has a polynomial complexity with respect to the size of the family constructed.
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