Information on Result #1509144
Linear OOA(233, 100, F2, 3, 9) (dual of [(100, 3), 267, 10]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(233, 100, F2, 2, 9) (dual of [(100, 2), 167, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(233, 128, F2, 2, 9) (dual of [(128, 2), 223, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(233, 256, F2, 9) (dual of [256, 223, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 2-folding [i] based on linear OA(233, 256, F2, 9) (dual of [256, 223, 10]-code), using
Mode: 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(2240, 2796301, F2, 3, 18) (dual of [(2796301, 3), 8388663, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2241, 2796301, F2, 3, 19) (dual of [(2796301, 3), 8388662, 20]-NRT-code) | [i] | ||