Information on Result #692063
Linear OA(1622, 4099, F16, 8) (dual of [4099, 4077, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(1622, 4096, F16, 8) (dual of [4096, 4074, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1619, 4096, F16, 7) (dual of [4096, 4077, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(1626, 4116, F16, 8) (dual of [4116, 4090, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1627, 4123, F16, 8) (dual of [4123, 4096, 9]-code) | [i] | ||
| 3 | Linear OA(1623, 4104, F16, 8) (dual of [4104, 4081, 9]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(1624, 4167, F16, 8) (dual of [4167, 4143, 9]-code) | [i] | ||
| 5 | Linear OA(1625, 4780, F16, 8) (dual of [4780, 4755, 9]-code) | [i] | ||
| 6 | Linear OA(1626, 6722, F16, 8) (dual of [6722, 6696, 9]-code) | [i] | ||
| 7 | Linear OOA(1622, 2049, F16, 2, 8) (dual of [(2049, 2), 4076, 9]-NRT-code) | [i] | OOA Folding | |