Information on Result #1008721
Linear OOA(3184, 3188650, F3, 3, 15) (dual of [(3188650, 3), 9565766, 16]-NRT-code), using trace code based on linear OOA(992, 1594325, F9, 3, 15) (dual of [(1594325, 3), 4782883, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(992, 4782975, F9, 15) (dual of [4782975, 4782883, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(992, 4782976, F9, 15) (dual of [4782976, 4782884, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(992, 4782976, F9, 15) (dual of [4782976, 4782884, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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(3185, 3188650, F3, 3, 15) (dual of [(3188650, 3), 9565765, 16]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3197, 3188676, F3, 3, 15) (dual of [(3188676, 3), 9565831, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3198, 3188684, F3, 3, 15) (dual of [(3188684, 3), 9565854, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(3201, 3188690, F3, 3, 15) (dual of [(3188690, 3), 9565869, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(3202, 3188696, F3, 3, 15) (dual of [(3188696, 3), 9565886, 16]-NRT-code) | [i] | ||