Information on Result #689178
Linear OA(962, 531454, F9, 12) (dual of [531454, 531392, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) 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(949, 531441, F9, 10) (dual of [531441, 531392, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(91, 13, F9, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(962, 374765, F9, 2, 12) (dual of [(374765, 2), 749468, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(962, 374765, F9, 3, 12) (dual of [(374765, 3), 1124233, 13]-NRT-code) | [i] | ||
| 3 | Digital (50, 62, 374765)-net over F9 | [i] | ||
| 4 | Linear OOA(962, 265727, F9, 2, 12) (dual of [(265727, 2), 531392, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(962, 177151, F9, 3, 12) (dual of [(177151, 3), 531391, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(962, 88575, F9, 12, 12) (dual of [(88575, 12), 1062838, 13]-NRT-code) | [i] | OA Folding and Stacking | |