Information on Result #1645373
Linear OOA(3162, 7410, F3, 5, 27) (dual of [(7410, 5), 36888, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3162, 7410, F3, 2, 27) (dual of [(7410, 2), 14658, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3162, 9841, F3, 2, 27) (dual of [(9841, 2), 19520, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3162, 19682, F3, 27) (dual of [19682, 19520, 28]-code), using
- 1 times truncation [i] based on linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 1 times truncation [i] based on linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using
- OOA 2-folding [i] based on linear OA(3162, 19682, F3, 27) (dual of [19682, 19520, 28]-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(3162, 2469, F3, 35, 27) (dual of [(2469, 35), 86253, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |