Information on Result #689240
Linear OA(9150, 531494, F9, 26) (dual of [531494, 531344, 27]-code), using construction X applied to Ce(25) ⊂ Ce(18) based on
- linear OA(9139, 531441, F9, 26) (dual of [531441, 531302, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(997, 531441, F9, 19) (dual of [531441, 531344, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(911, 53, F9, 6) (dual of [53, 42, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(911, 80, F9, 6) (dual of [80, 69, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(911, 80, F9, 6) (dual of [80, 69, 7]-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(9150, 265747, F9, 2, 26) (dual of [(265747, 2), 531344, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9150, 177164, F9, 3, 26) (dual of [(177164, 3), 531342, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(9150, 40884, F9, 26, 26) (dual of [(40884, 26), 1062834, 27]-NRT-code) | [i] | OA Folding and Stacking | |