Information on Result #692042
Linear OA(1673, 4099, F16, 26) (dual of [4099, 4026, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) based on
- linear OA(1673, 4096, F16, 26) (dual of [4096, 4023, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1670, 4096, F16, 25) (dual of [4096, 4026, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(1692, 4164, F16, 26) (dual of [4164, 4072, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1693, 4166, F16, 26) (dual of [4166, 4073, 27]-code) | [i] | ||
| 3 | Linear OA(1677, 4130, F16, 26) (dual of [4130, 4053, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(1678, 4209, F16, 26) (dual of [4209, 4131, 27]-code) | [i] | ||
| 5 | Linear OA(1679, 4439, F16, 26) (dual of [4439, 4360, 27]-code) | [i] | ||
| 6 | Linear OA(1680, 4867, F16, 26) (dual of [4867, 4787, 27]-code) | [i] | ||
| 7 | Linear OA(1681, 5420, F16, 26) (dual of [5420, 5339, 27]-code) | [i] | ||
| 8 | Linear OOA(1673, 2049, F16, 2, 26) (dual of [(2049, 2), 4025, 27]-NRT-code) | [i] | OOA Folding | |