Information on Result #1198432
Digital (78, 102, 44290)-net over F27, using net defined by OOA based on linear OOA(27102, 44290, F27, 24, 24) (dual of [(44290, 24), 1062858, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(27102, 531480, F27, 24) (dual of [531480, 531378, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(27102, 531482, F27, 24) (dual of [531482, 531380, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(15) [i] 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(2761, 531441, F27, 16) (dual of [531441, 531380, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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
- construction X applied to Ce(23) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(27102, 531482, F27, 24) (dual of [531482, 531380, 25]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (79, 103, 44290)-net over F27 | [i] | Net Duplication | |
| 2 | Digital (80, 104, 44290)-net over F27 | [i] | ||