Information on Result #1008648
Linear OOA(256, 262143, F2, 3, 7) (dual of [(262143, 3), 786373, 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(256, 262143, F2, 3, 6) (dual of [(262143, 3), 786373, 7]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(257, 262143, F2, 3, 7) (dual of [(262143, 3), 786372, 8]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(258, 262143, F2, 3, 7) (dual of [(262143, 3), 786371, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(255, 262142, F2, 3, 6) (dual of [(262142, 3), 786371, 7]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2217, 3058344, F2, 3, 14) (dual of [(3058344, 3), 9174815, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2218, 3058344, F2, 3, 15) (dual of [(3058344, 3), 9174814, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(256, 262143, F2, 4, 7) (dual of [(262143, 4), 1048516, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Linear OOA(256, 262143, F2, 5, 7) (dual of [(262143, 5), 1310659, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(256, 262143, F2, 6, 7) (dual of [(262143, 6), 1572802, 8]-NRT-code) | [i] | ||
| 10 | Linear OOA(256, 262142, F2, 4, 7) (dual of [(262142, 4), 1048512, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 11 | Linear OOA(256, 262142, F2, 5, 7) (dual of [(262142, 5), 1310654, 8]-NRT-code) | [i] | ||
| 12 | Linear OOA(256, 262142, F2, 6, 7) (dual of [(262142, 6), 1572796, 8]-NRT-code) | [i] | ||
| 13 | Linear OOA(256, 262142, F2, 7, 7) (dual of [(262142, 7), 1834938, 8]-NRT-code) | [i] | ||
| 14 | Linear OOA(256, 262142, F2, 8, 7) (dual of [(262142, 8), 2097080, 8]-NRT-code) | [i] | ||