Information on Result #692039
Linear OA(1682, 4099, F16, 29) (dual of [4099, 4017, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) based on
- linear OA(1682, 4096, F16, 29) (dual of [4096, 4014, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(1679, 4096, F16, 28) (dual of [4096, 4017, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(16102, 4164, F16, 29) (dual of [4164, 4062, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16103, 4166, F16, 29) (dual of [4166, 4063, 30]-code) | [i] | ||
| 3 | Linear OA(16104, 4168, F16, 29) (dual of [4168, 4064, 30]-code) | [i] | ||
| 4 | Linear OA(16105, 4170, F16, 29) (dual of [4170, 4065, 30]-code) | [i] | ||
| 5 | Linear OA(1685, 4116, F16, 29) (dual of [4116, 4031, 30]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(1686, 4161, F16, 29) (dual of [4161, 4075, 30]-code) | [i] | ||
| 7 | Linear OA(1687, 4307, F16, 29) (dual of [4307, 4220, 30]-code) | [i] | ||
| 8 | Linear OA(1688, 4626, F16, 29) (dual of [4626, 4538, 30]-code) | [i] | ||
| 9 | Linear OA(1689, 5079, F16, 29) (dual of [5079, 4990, 30]-code) | [i] | ||
| 10 | Linear OOA(1682, 2049, F16, 2, 29) (dual of [(2049, 2), 4016, 30]-NRT-code) | [i] | OOA Folding | |