Information on Result #1458338
Linear OOA(2759, 11885, F27, 2, 20) (dual of [(11885, 2), 23711, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2759, 11885, F27, 20) (dual of [11885, 11826, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2759, 19690, F27, 20) (dual of [19690, 19631, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(2758, 19683, F27, 20) (dual of [19683, 19625, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2752, 19683, F27, 18) (dual of [19683, 19631, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(271, 7, F27, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
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(2759, 2376, F27, 22, 20) (dual of [(2376, 22), 52213, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |