Information on Result #944804
Linear OOA(647, 2049, F64, 3, 4) (dual of [(2049, 3), 6140, 5]-NRT-code), using OA 2-folding and stacking based on linear OA(647, 4098, F64, 4) (dual of [4098, 4091, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(647, 4096, F64, 4) (dual of [4096, 4089, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(645, 4096, F64, 3) (dual of [4096, 4091, 4]-code or 4096-cap in PG(4,64)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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 OOA(6436, 2798250, F64, 3, 8) (dual of [(2798250, 3), 8394714, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6432, 89431, F64, 3, 9) (dual of [(89431, 3), 268261, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(6440, 2798250, F64, 3, 9) (dual of [(2798250, 3), 8394710, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(6484, 5598549, F64, 3, 13) (dual of [(5598549, 3), 16795563, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(6480, 5598549, F64, 3, 12) (dual of [(5598549, 3), 16795567, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(6489, 5596500, F64, 3, 14) (dual of [(5596500, 3), 16789411, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(6481, 5596500, F64, 3, 13) (dual of [(5596500, 3), 16789419, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(6477, 5596500, F64, 3, 12) (dual of [(5596500, 3), 16789423, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(6485, 5594451, F64, 3, 14) (dual of [(5594451, 3), 16783268, 15]-NRT-code) | [i] | ||
| 10 | Linear OOA(6477, 5594451, F64, 3, 13) (dual of [(5594451, 3), 16783276, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(6473, 5594451, F64, 3, 12) (dual of [(5594451, 3), 16783280, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(647, 2049, F64, 4, 4) (dual of [(2049, 4), 8189, 5]-NRT-code) | [i] | Appending kth Column | |