Information on Result #1016078
Linear OOA(967, 177159, F9, 3, 12) (dual of [(177159, 3), 531410, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(96, 10, F9, 3, 6) (dual of [(10, 3), 24, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;24,9) [i]
- linear OOA(961, 177149, F9, 3, 12) (dual of [(177149, 3), 531386, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(961, 531447, F9, 12) (dual of [531447, 531386, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(961, 531441, F9, 12) (dual of [531441, 531380, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(955, 531441, F9, 11) (dual of [531441, 531386, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(90, 6, F9, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- OOA 3-folding [i] based on linear OA(961, 531447, F9, 12) (dual of [531447, 531386, 13]-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(967, 88579, F9, 15, 12) (dual of [(88579, 15), 1328618, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |