Information on Result #695335
Linear OA(27106, 19743, F27, 31) (dual of [19743, 19637, 32]-code), using construction X applied to Ce(30) ⊂ Ce(15) 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(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(2718, 60, F27, 14) (dual of [60, 42, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2718, 64, F27, 14) (dual of [64, 46, 15]-code), using
- extended algebraic-geometric code AGe(F,49P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(2718, 64, F27, 14) (dual of [64, 46, 15]-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(27106, 9871, F27, 2, 31) (dual of [(9871, 2), 19636, 32]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(27106, 1316, F27, 31, 31) (dual of [(1316, 31), 40690, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |