Information on Result #1455124
Linear OOA(16118, 80972, F16, 2, 30) (dual of [(80972, 2), 161826, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(16118, 80972, F16, 30) (dual of [80972, 80854, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(16118, 131072, F16, 30) (dual of [131072, 130954, 31]-code), using
- trace code [i] based on linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- trace code [i] based on linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using
Mode: 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 OOA(16118, 10121, F16, 34, 30) (dual of [(10121, 34), 343996, 31]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |