Information on Result #1459228
Linear OOA(2792, 10162, F27, 2, 32) (dual of [(10162, 2), 20232, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2792, 10162, F27, 32) (dual of [10162, 10070, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2792, 19690, F27, 32) (dual of [19690, 19598, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(29) [i] based on
- linear OA(2791, 19683, F27, 32) (dual of [19683, 19592, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2785, 19683, F27, 30) (dual of [19683, 19598, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(31) ⊂ Ce(29) [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(2792, 1270, F27, 34, 32) (dual of [(1270, 34), 43088, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |