Information on Result #856430
Linear OOA(1643, 2049, F16, 2, 15) (dual of [(2049, 2), 4055, 16]-NRT-code), using OOA 2-folding based on linear OA(1643, 4098, F16, 15) (dual of [4098, 4055, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(1643, 4099, F16, 15) (dual of [4099, 4056, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(1643, 4096, F16, 15) (dual of [4096, 4053, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(1640, 4096, F16, 14) (dual of [4096, 4056, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
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(1650, 2066, F16, 2, 15) (dual of [(2066, 2), 4082, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(1651, 2073, F16, 2, 15) (dual of [(2073, 2), 4095, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(1652, 2082, F16, 2, 15) (dual of [(2082, 2), 4112, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(1653, 2087, F16, 2, 15) (dual of [(2087, 2), 4121, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(1654, 2094, F16, 2, 15) (dual of [(2094, 2), 4134, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(1655, 2099, F16, 2, 15) (dual of [(2099, 2), 4143, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(1656, 2306, F16, 2, 15) (dual of [(2306, 2), 4556, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(1655, 2100, F16, 2, 15) (dual of [(2100, 2), 4145, 16]-NRT-code) | [i] | ||