Information on Result #694941
Linear OA(2783, 531487, F27, 19) (dual of [531487, 531404, 20]-code), using construction X applied to Ce(18) ⊂ Ce(9) based on
- linear OA(2773, 531441, F27, 19) (dual of [531441, 531368, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2737, 531441, F27, 10) (dual of [531441, 531404, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2710, 46, F27, 8) (dual of [46, 36, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2710, 48, F27, 8) (dual of [48, 38, 9]-code), using
- extended algebraic-geometric code AGe(F,39P) [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(2710, 48, F27, 8) (dual of [48, 38, 9]-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(2783, 265743, F27, 2, 19) (dual of [(265743, 2), 531403, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2783, 59054, F27, 19, 19) (dual of [(59054, 19), 1121943, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |