Information on Result #2650166
Linear OOA(12834, large, F128, 3, 4), using strength reduction based on linear OOA(12834, large, F128, 3, 6), using
- (u, u+v)-construction [i] based on
- linear OOA(1287, large, F128, 3, 3), using
- appending kth column [i] based on linear OOA(1287, large, F128, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(1287, large, F128, 3) (dual of [large, large−7, 4]-code), using
- appending kth column [i] based on linear OOA(1287, large, F128, 2, 3), using
- linear OOA(12827, 4926251, F128, 3, 6) (dual of [(4926251, 3), 14778726, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1286, 2130050, F128, 3, 3) (dual of [(2130050, 3), 6390144, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(1286, 2130050, F128, 2, 3) (dual of [(2130050, 2), 4260094, 4]-NRT-code), using
- linear OOA(12821, 2796201, F128, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using
- linear OOA(1286, 2130050, F128, 3, 3) (dual of [(2130050, 3), 6390144, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1287, large, F128, 3, 3), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(12835, large, F128, 3, 4) | [i] | OOA Duplication | |
| 2 | Linear OOA(12836, large, F128, 3, 4) | [i] | ||