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Optimal Packings of K4's into a Kn

In this paper we determine the maximum cardinality of a packing of K4's into Kn, that is, construct optimal constant weight codes with weight 4 and minimum distance 6.

Andries E. Brouwer | A. Brouwer

[1] W. H. Mills,et al. On the Covering of Pairs by Quadruples II , 1973, J. Comb. Theory, Ser. A.

[2] A. S. Hedayat,et al. A Set of Three Mutually Orthogonal Latin Squares of Order 15 , 1971 .

[3] W. H. Mills. Three Mutually Orthogonal Latin Squares , 1972, J. Comb. Theory, Ser. A.

[4] Andries E. Brouwer,et al. A(17,6,4) = 20 or the nonexistence of the scarce design sd(4,1 ;17,21) , 1975 .

[5] Andries E. Brouwer,et al. Two new nearly Kirkman triple systems , 1977 .

[6] Richard M. Wilson,et al. On resolvable designs , 1972, Discret. Math..

[7] R. C. Bose,et al. Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture , 1960, Canadian Journal of Mathematics.

[8] Shinmin Patrick Wang. On self-orthogonal Latin squares and partial transversals of Latin squares / , 1978 .

[9] Selmer M. Johnson. A new upper bound for error-correcting codes , 1962, IRE Trans. Inf. Theory.

[10] Jean-Claude Bermond,et al. On maximal systems of quadruples , 1978 .

[11] H. Hanani. The Existence and Construction of Balanced Incomplete Block Designs , 1961 .

[12] Haim Hanani,et al. Balanced incomplete block designs and related designs , 1975, Discret. Math..