Information on Result #1841750
OOA(12834, 2129918, S128, 12, 8), using OOA stacking with additional row based on OOA(12834, 2129919, S128, 4, 8), using
- (u, u+v)-construction [i] based on
- OOA(1288, 32769, S128, 4, 4), using
- OA 2-folding and stacking [i] based on OA(1288, 65538, S128, 4), using
- discarding parts of the base [i] based on linear OA(2567, 65538, F256, 4) (dual of [65538, 65531, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(2567, 65536, F256, 4) (dual of [65536, 65529, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(2565, 65536, F256, 3) (dual of [65536, 65531, 4]-code or 65536-cap in PG(4,256)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- discarding parts of the base [i] based on linear OA(2567, 65538, F256, 4) (dual of [65538, 65531, 5]-code), using
- OA 2-folding and stacking [i] based on OA(1288, 65538, S128, 4), using
- OOA(12826, 2097150, S128, 4, 8), using
- OOA 4-folding [i] based on OA(12826, 8388600, S128, 8), using
- discarding factors based on OA(12826, large, S128, 8), using
- discarding parts of the base [i] based on linear OA(25622, large, F256, 8) (dual of [large, large−22, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding parts of the base [i] based on linear OA(25622, large, F256, 8) (dual of [large, large−22, 9]-code), using
- discarding factors based on OA(12826, large, S128, 8), using
- OOA 4-folding [i] based on OA(12826, 8388600, S128, 8), using
- OOA(1288, 32769, S128, 4, 4), using
Mode: Constructive.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (26, 34, 2129918)-net in base 128 | [i] | Net Defined by OOA | |