Information on Result #1554354
Linear OOA(870, 7612, F8, 3, 18) (dual of [(7612, 3), 22766, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(870, 7612, F8, 18) (dual of [7612, 7542, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(870, 8192, F8, 18) (dual of [8192, 8122, 19]-code), using
- trace code [i] based on linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- trace code [i] based on linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-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(870, 2537, F8, 21, 18) (dual of [(2537, 21), 53207, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |