Information on Result #694930
Linear OA(2786, 531482, F27, 20) (dual of [531482, 531396, 21]-code), using construction X applied to Ce(19) ⊂ Ce(11) based on
- linear OA(2777, 531441, F27, 20) (dual of [531441, 531364, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2745, 531441, F27, 12) (dual of [531441, 531396, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(279, 41, F27, 7) (dual of [41, 32, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(279, 48, F27, 7) (dual of [48, 39, 8]-code), using
- extended algebraic-geometric code AGe(F,40P) [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(279, 48, F27, 7) (dual of [48, 39, 8]-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(2786, 265741, F27, 2, 20) (dual of [(265741, 2), 531396, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2786, 53148, F27, 20, 20) (dual of [(53148, 20), 1062874, 21]-NRT-code) | [i] | OA Folding and Stacking | |