Information on Result #1008649

Linear OOA(262, 1048575, F2, 3, 7) (dual of [(1048575, 3), 3145663, 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(262, 1048575, F2, 3, 6) (dual of [(1048575, 3), 3145663, 7]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(263, 1048575, F2, 3, 7) (dual of [(1048575, 3), 3145662, 8]-NRT-code) [i]OOA Duplication
3Linear OOA(264, 1048575, F2, 3, 7) (dual of [(1048575, 3), 3145661, 8]-NRT-code) [i]
4Linear OOA(261, 1048574, F2, 3, 6) (dual of [(1048574, 3), 3145661, 7]-NRT-code) [i]Truncation for OOAs
5Linear OOA(2223, 3844776, F2, 3, 14) (dual of [(3844776, 3), 11534105, 15]-NRT-code) [i](u, u+v)-Construction for OOAs
6Linear OOA(2224, 3844776, F2, 3, 15) (dual of [(3844776, 3), 11534104, 16]-NRT-code) [i]
7Linear OOA(262, 1048575, F2, 4, 7) (dual of [(1048575, 4), 4194238, 8]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
8Linear OOA(262, 1048575, F2, 5, 7) (dual of [(1048575, 5), 5242813, 8]-NRT-code) [i]
9Linear OOA(262, 1048575, F2, 6, 7) (dual of [(1048575, 6), 6291388, 8]-NRT-code) [i]
10Linear OOA(262, 1048574, F2, 4, 7) (dual of [(1048574, 4), 4194234, 8]-NRT-code) [i]OOA Stacking with Additional Row
11Linear OOA(262, 1048574, F2, 5, 7) (dual of [(1048574, 5), 5242808, 8]-NRT-code) [i]
12Linear OOA(262, 1048574, F2, 6, 7) (dual of [(1048574, 6), 6291382, 8]-NRT-code) [i]
13Linear OOA(262, 1048574, F2, 7, 7) (dual of [(1048574, 7), 7339956, 8]-NRT-code) [i]
14Linear OOA(262, 1048574, F2, 8, 7) (dual of [(1048574, 8), 8388530, 8]-NRT-code) [i]