Information on Result #692053
Linear OA(1643, 4099, F16, 15) (dual of [4099, 4056, 16]-code), using construction X applied to Ce(14) ⊂ Ce(13) 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
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 OA(1652, 4132, F16, 15) (dual of [4132, 4080, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1653, 4137, F16, 15) (dual of [4137, 4084, 16]-code) | [i] | ||
| 3 | Linear OA(1654, 4150, F16, 15) (dual of [4150, 4096, 16]-code) | [i] | ||
| 4 | Linear OA(1655, 4186, F16, 15) (dual of [4186, 4131, 16]-code) | [i] | ||
| 5 | Linear OA(1645, 4115, F16, 15) (dual of [4115, 4070, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(1646, 4230, F16, 15) (dual of [4230, 4184, 16]-code) | [i] | ||
| 7 | Linear OA(1647, 4637, F16, 15) (dual of [4637, 4590, 16]-code) | [i] | ||
| 8 | Linear OA(1648, 5458, F16, 15) (dual of [5458, 5410, 16]-code) | [i] | ||
| 9 | Linear OOA(1643, 2049, F16, 2, 15) (dual of [(2049, 2), 4055, 16]-NRT-code) | [i] | OOA Folding | |