Information on Result #692024
Linear OA(16115, 4099, F16, 41) (dual of [4099, 3984, 42]-code), using construction X applied to Ce(40) ⊂ Ce(39) based on
- linear OA(16115, 4096, F16, 41) (dual of [4096, 3981, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- 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(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(16118, 4125, F16, 41) (dual of [4125, 4007, 42]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(16119, 4191, F16, 41) (dual of [4191, 4072, 42]-code) | [i] | ||
| 3 | Linear OA(16120, 4363, F16, 41) (dual of [4363, 4243, 42]-code) | [i] | ||
| 4 | Linear OA(16121, 4640, F16, 41) (dual of [4640, 4519, 42]-code) | [i] | ||
| 5 | Linear OA(16122, 4967, F16, 41) (dual of [4967, 4845, 42]-code) | [i] | ||
| 6 | Linear OOA(16115, 2049, F16, 2, 41) (dual of [(2049, 2), 3983, 42]-NRT-code) | [i] | OOA Folding | |