Information on Result #1028097
Linear OOA(281, 30, F2, 3, 55) (dual of [(30, 3), 9, 56]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(87, 10, F8, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
- Denniston code D(1,8) [i]
- linear OOA(26, 3, F2, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,2) [i]
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(281, 30, F2, 3, 54) (dual of [(30, 3), 9, 55]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(281, 30, F2, 3, 53) (dual of [(30, 3), 9, 54]-NRT-code) | [i] | ||
| 3 | Linear OOA(281, 30, F2, 3, 52) (dual of [(30, 3), 9, 53]-NRT-code) | [i] | ||
| 4 | Linear OOA(281, 30, F2, 3, 51) (dual of [(30, 3), 9, 52]-NRT-code) | [i] | ||
| 5 | Linear OOA(281, 30, F2, 3, 50) (dual of [(30, 3), 9, 51]-NRT-code) | [i] | ||
| 6 | Linear OOA(281, 30, F2, 3, 49) (dual of [(30, 3), 9, 50]-NRT-code) | [i] | ||
| 7 | Linear OOA(284, 31, F2, 3, 55) (dual of [(31, 3), 9, 56]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(287, 32, F2, 3, 55) (dual of [(32, 3), 9, 56]-NRT-code) | [i] | ||
| 9 | Linear OOA(290, 33, F2, 3, 55) (dual of [(33, 3), 9, 56]-NRT-code) | [i] | ||
| 10 | Linear OOA(282, 30, F2, 3, 55) (dual of [(30, 3), 8, 56]-NRT-code) | [i] | OOA Duplication | |
| 11 | Linear OOA(283, 30, F2, 3, 55) (dual of [(30, 3), 7, 56]-NRT-code) | [i] | ||
| 12 | Linear OOA(280, 29, F2, 3, 54) (dual of [(29, 3), 7, 55]-NRT-code) | [i] | Truncation for OOAs | |
| 13 | Linear OOA(279, 29, F2, 3, 53) (dual of [(29, 3), 8, 54]-NRT-code) | [i] | ||
| 14 | Linear OOA(278, 29, F2, 3, 52) (dual of [(29, 3), 9, 53]-NRT-code) | [i] | ||
| 15 | Linear OOA(277, 28, F2, 3, 51) (dual of [(28, 3), 7, 52]-NRT-code) | [i] | ||
| 16 | Linear OOA(276, 28, F2, 3, 50) (dual of [(28, 3), 8, 51]-NRT-code) | [i] | ||
| 17 | Linear OOA(275, 28, F2, 3, 49) (dual of [(28, 3), 9, 50]-NRT-code) | [i] | ||
| 18 | Linear OOA(274, 27, F2, 3, 48) (dual of [(27, 3), 7, 49]-NRT-code) | [i] | ||
| 19 | Linear OOA(273, 27, F2, 3, 47) (dual of [(27, 3), 8, 48]-NRT-code) | [i] | ||
| 20 | Linear OOA(270, 26, F2, 3, 44) (dual of [(26, 3), 8, 45]-NRT-code) | [i] | ||
| 21 | Linear OOA(269, 26, F2, 3, 43) (dual of [(26, 3), 9, 44]-NRT-code) | [i] | ||
| 22 | Linear OOA(266, 25, F2, 3, 40) (dual of [(25, 3), 9, 41]-NRT-code) | [i] | ||
| 23 | Linear OOA(281, 15, F2, 6, 55) (dual of [(15, 6), 9, 56]-NRT-code) | [i] | OOA Folding | |