Information on Result #692044
Linear OA(1667, 4099, F16, 24) (dual of [4099, 4032, 25]-code), using construction X applied to Ce(23) ⊂ Ce(22) based on
- linear OA(1667, 4096, F16, 24) (dual of [4096, 4029, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(1664, 4096, F16, 23) (dual of [4096, 4032, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(1684, 4148, F16, 24) (dual of [4148, 4064, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1685, 4164, F16, 24) (dual of [4164, 4079, 25]-code) | [i] | ||
| 3 | Linear OA(1671, 4124, F16, 24) (dual of [4124, 4053, 25]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(1672, 4187, F16, 24) (dual of [4187, 4115, 25]-code) | [i] | ||
| 5 | Linear OA(1673, 4375, F16, 24) (dual of [4375, 4302, 25]-code) | [i] | ||
| 6 | Linear OA(1674, 4765, F16, 24) (dual of [4765, 4691, 25]-code) | [i] | ||
| 7 | Linear OA(1675, 5327, F16, 24) (dual of [5327, 5252, 25]-code) | [i] | ||
| 8 | Linear OOA(1667, 2049, F16, 2, 24) (dual of [(2049, 2), 4031, 25]-NRT-code) | [i] | OOA Folding | |