Information on Result #621955
Linear OA(2248, 268, F2, 115) (dual of [268, 20, 116]-code), using construction X applied to C3 ⊂ C2 based on
- linear OA(2243, 255, F2, 119) (dual of [255, 12, 120]-code), using code C3 for u = 8 by de Boer and Brouwer [i]
- linear OA(2235, 255, F2, 111) (dual of [255, 20, 112]-code), using code C2 for u = 8 by de Boer and Brouwer [i]
- linear OA(25, 13, F2, 3) (dual of [13, 8, 4]-code or 13-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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 OA(2133, 152, F2, 57) (dual of [152, 19, 58]-code) | [i] | Residual Code | |
| 2 | Linear OOA(2248, 134, F2, 2, 115) (dual of [(134, 2), 20, 116]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2248, 89, F2, 3, 115) (dual of [(89, 3), 19, 116]-NRT-code) | [i] | ||
| 4 | Linear OOA(2248, 53, F2, 5, 115) (dual of [(53, 5), 17, 116]-NRT-code) | [i] | ||