Information on Result #695302
Linear OA(27101, 19729, F27, 31) (dual of [19729, 19628, 32]-code), using construction X applied to Ce(30) ⊂ Ce(18) based on
- linear OA(2788, 19683, F27, 31) (dual of [19683, 19595, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2755, 19683, F27, 19) (dual of [19683, 19628, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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 OOA(27101, 9864, F27, 2, 31) (dual of [(9864, 2), 19627, 32]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(27101, 1315, F27, 31, 31) (dual of [(1315, 31), 40664, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |