Information on Result #694944
Linear OA(27105, 531493, F27, 24) (dual of [531493, 531388, 25]-code), using construction X applied to Ce(23) ⊂ Ce(13) based on
- linear OA(2793, 531441, F27, 24) (dual of [531441, 531348, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- 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(2712, 52, F27, 9) (dual of [52, 40, 10]-code), using
- extended algebraic-geometric code AGe(F,42P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, 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 OA(27106, 531494, F27, 24) (dual of [531494, 531388, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(27105, 265746, F27, 2, 24) (dual of [(265746, 2), 531387, 25]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(27105, 44291, F27, 24, 24) (dual of [(44291, 24), 1062879, 25]-NRT-code) | [i] | OA Folding and Stacking | |