Information on Result #1008650

Linear OOA(265, 2097151, F2, 3, 7) (dual of [(2097151, 3), 6291388, 8]-NRT-code), using OOAs constructed from BCH codes

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(265, 2097151, F2, 3, 6) (dual of [(2097151, 3), 6291388, 7]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(266, 2097151, F2, 3, 7) (dual of [(2097151, 3), 6291387, 8]-NRT-code) [i]OOA Duplication
3Linear OOA(267, 2097151, F2, 3, 7) (dual of [(2097151, 3), 6291386, 8]-NRT-code) [i]
4Linear OOA(264, 2097150, F2, 3, 6) (dual of [(2097150, 3), 6291386, 7]-NRT-code) [i]Truncation for OOAs
5Linear OOA(2226, 4893352, F2, 3, 14) (dual of [(4893352, 3), 14679830, 15]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2226, 2796224, F2, 3, 15) (dual of [(2796224, 3), 8388446, 16]-NRT-code) [i]
7Linear OOA(2227, 4893352, F2, 3, 15) (dual of [(4893352, 3), 14679829, 16]-NRT-code) [i]
8Linear OOA(265, 2097151, F2, 4, 7) (dual of [(2097151, 4), 8388539, 8]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
9Linear OOA(265, 2097151, F2, 5, 7) (dual of [(2097151, 5), 10485690, 8]-NRT-code) [i]
10Linear OOA(265, 2097151, F2, 6, 7) (dual of [(2097151, 6), 12582841, 8]-NRT-code) [i]
11Linear OOA(265, 2097150, F2, 4, 7) (dual of [(2097150, 4), 8388535, 8]-NRT-code) [i]OOA Stacking with Additional Row
12Linear OOA(265, 2097150, F2, 5, 7) (dual of [(2097150, 5), 10485685, 8]-NRT-code) [i]
13Linear OOA(265, 2097150, F2, 6, 7) (dual of [(2097150, 6), 12582835, 8]-NRT-code) [i]
14Linear OOA(265, 2097150, F2, 7, 7) (dual of [(2097150, 7), 14679985, 8]-NRT-code) [i]
15Linear OOA(265, 2097150, F2, 8, 7) (dual of [(2097150, 8), 16777135, 8]-NRT-code) [i]