Information on Result #692025
Linear OA(16112, 4099, F16, 40) (dual of [4099, 3987, 41]-code), using construction X applied to Ce(39) ⊂ Ce(38) based on
- linear OA(16112, 4096, F16, 40) (dual of [4096, 3984, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(16109, 4096, F16, 39) (dual of [4096, 3987, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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(16115, 4116, F16, 40) (dual of [4116, 4001, 41]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(16116, 4161, F16, 40) (dual of [4161, 4045, 41]-code) | [i] | ||
| 3 | Linear OA(16117, 4293, F16, 40) (dual of [4293, 4176, 41]-code) | [i] | ||
| 4 | Linear OA(16118, 4545, F16, 40) (dual of [4545, 4427, 41]-code) | [i] | ||
| 5 | Linear OA(16119, 4867, F16, 40) (dual of [4867, 4748, 41]-code) | [i] | ||
| 6 | Linear OOA(16112, 2049, F16, 2, 40) (dual of [(2049, 2), 3986, 41]-NRT-code) | [i] | OOA Folding | |