Information on Result #695305
Linear OA(2792, 19729, F27, 28) (dual of [19729, 19637, 29]-code), using construction X applied to Ce(27) ⊂ Ce(15) based on
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2746, 19683, F27, 16) (dual of [19683, 19637, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2713, 46, F27, 11) (dual of [46, 33, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2713, 48, F27, 11) (dual of [48, 35, 12]-code), using
- extended algebraic-geometric code AGe(F,36P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2713, 48, F27, 11) (dual of [48, 35, 12]-code), using
Mode: Constructive and 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 OA(2791, 19728, F27, 27) (dual of [19728, 19637, 28]-code) | [i] | Truncation | |
| 2 | Linear OOA(2792, 9864, F27, 2, 28) (dual of [(9864, 2), 19636, 29]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2792, 1409, F27, 28, 28) (dual of [(1409, 28), 39360, 29]-NRT-code) | [i] | OA Folding and Stacking | |