Information on Result #694922
Linear OA(2760, 531476, F27, 14) (dual of [531476, 531416, 15]-code), using construction X applied to Ce(13) ⊂ Ce(6) based on
- linear OA(2753, 531441, F27, 14) (dual of [531441, 531388, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2725, 531441, F27, 7) (dual of [531441, 531416, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(277, 35, F27, 6) (dual of [35, 28, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(277, 38, F27, 6) (dual of [38, 31, 7]-code), using
- extended algebraic-geometric code AGe(F,31P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(277, 38, F27, 6) (dual of [38, 31, 7]-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(2760, 265738, F27, 2, 14) (dual of [(265738, 2), 531416, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2760, 75925, F27, 14, 14) (dual of [(75925, 14), 1062890, 15]-NRT-code) | [i] | OA Folding and Stacking | |