Information on Result #900537
Linear OOA(2766, 4194367, F27, 2, 12) (dual of [(4194367, 2), 8388668, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2710, 66, F27, 2, 6) (dual of [(66, 2), 122, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;53,27) [i]
- linear OOA(277, 38, F27, 2, 6) (dual of [(38, 2), 69, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,69P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2756, 4194301, F27, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2756, 8388602, F27, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2756, large, F27, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2756, large, F27, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(2756, 8388602, F27, 12) (dual of [8388602, 8388546, 13]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2766, 1398122, F27, 14, 12) (dual of [(1398122, 14), 19573642, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |