Information on Result #1315007
Linear OA(2784, 383, F27, 45) (dual of [383, 299, 46]-code), using 12 step Varšamov–Edel lengthening with (ri) = (1, 11 times 0) based on linear OA(2783, 370, F27, 45) (dual of [370, 287, 46]-code), using
- construction X applied to Ce(44) ⊂ Ce(42) [i] based on
- linear OA(2782, 365, F27, 45) (dual of [365, 283, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(2778, 365, F27, 43) (dual of [365, 287, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(271, 5, F27, 1) (dual of [5, 4, 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
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(2784, 191, F27, 2, 45) (dual of [(191, 2), 298, 46]-NRT-code) | [i] | OOA Folding | |