Information on Result #911387
Linear OOA(291, 50, F2, 2, 55) (dual of [(50, 2), 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(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
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(291, 50, F2, 2, 54) (dual of [(50, 2), 9, 55]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(291, 50, F2, 2, 53) (dual of [(50, 2), 9, 54]-NRT-code) | [i] | ||
| 3 | Linear OOA(291, 50, F2, 2, 52) (dual of [(50, 2), 9, 53]-NRT-code) | [i] | ||
| 4 | Linear OOA(291, 50, F2, 2, 51) (dual of [(50, 2), 9, 52]-NRT-code) | [i] | ||
| 5 | Linear OOA(291, 50, F2, 2, 50) (dual of [(50, 2), 9, 51]-NRT-code) | [i] | ||
| 6 | Linear OOA(291, 50, F2, 2, 49) (dual of [(50, 2), 9, 50]-NRT-code) | [i] | ||
| 7 | Linear OOA(291, 50, F2, 2, 48) (dual of [(50, 2), 9, 49]-NRT-code) | [i] | ||
| 8 | Linear OOA(293, 51, F2, 2, 55) (dual of [(51, 2), 9, 56]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 9 | Linear OOA(295, 52, F2, 2, 55) (dual of [(52, 2), 9, 56]-NRT-code) | [i] | ||
| 10 | Linear OOA(297, 53, F2, 2, 55) (dual of [(53, 2), 9, 56]-NRT-code) | [i] | ||
| 11 | Linear OOA(290, 49, F2, 2, 54) (dual of [(49, 2), 8, 55]-NRT-code) | [i] | Truncation for OOAs | |
| 12 | Linear OOA(289, 49, F2, 2, 53) (dual of [(49, 2), 9, 54]-NRT-code) | [i] | ||
| 13 | Linear OOA(287, 48, F2, 2, 51) (dual of [(48, 2), 9, 52]-NRT-code) | [i] | ||
| 14 | Linear OOA(286, 47, F2, 2, 50) (dual of [(47, 2), 8, 51]-NRT-code) | [i] | ||
| 15 | Linear OOA(285, 47, F2, 2, 49) (dual of [(47, 2), 9, 50]-NRT-code) | [i] | ||
| 16 | Linear OOA(284, 46, F2, 2, 48) (dual of [(46, 2), 8, 49]-NRT-code) | [i] | ||
| 17 | Linear OOA(283, 46, F2, 2, 47) (dual of [(46, 2), 9, 48]-NRT-code) | [i] | ||
| 18 | Linear OOA(2109, 59, F2, 2, 62) (dual of [(59, 2), 9, 63]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 19 | Linear OOA(2113, 61, F2, 2, 64) (dual of [(61, 2), 9, 65]-NRT-code) | [i] | ||
| 20 | Linear OOA(291, 25, F2, 4, 55) (dual of [(25, 4), 9, 56]-NRT-code) | [i] | OOA Folding | |