Geodesic
On perfect colorings of the halved 24-cube
Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 5, pp. 35-46

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We consider perfect 2-colorings of the distance-2 graph of the 24-cube $\{0,1\}^{24}$ with parameters $((20+c,256-c)(c,276-c))$ (i.e., with the eigenvalue 20). We prove that such colorings exist for all $c$ from 1 to 128 except 1, 2, 4, 5, 7, 10, 13 and do not exist for $c=1,2,4,5,7$. Tabl. 2, bibl. 4.
Keywords: perfect coloring, halved $n$-cube.
Mots-clés : equitable partition 
@article{DA_2008_15_5_a3,
     author = {D. S. Krotov},
     title = {On perfect colorings of the halved 24-cube},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {35--46},
     publisher = {mathdoc},
     volume = {15},
     number = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DA_2008_15_5_a3/}
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D. S. Krotov. On perfect colorings of the halved 24-cube. Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 5, pp. 35-46. http://geodesic.mathdoc.fr/item/DA_2008_15_5_a3/