Information on Result #689176
Linear OA(968, 531454, F9, 13) (dual of [531454, 531386, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(967, 531441, F9, 13) (dual of [531441, 531374, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(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(968, 398219, F9, 2, 13) (dual of [(398219, 2), 796370, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(968, 398219, F9, 3, 13) (dual of [(398219, 3), 1194589, 14]-NRT-code) | [i] | ||
| 3 | Digital (55, 68, 398219)-net over F9 | [i] | ||
| 4 | Linear OOA(968, 265727, F9, 2, 13) (dual of [(265727, 2), 531386, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(968, 177151, F9, 3, 13) (dual of [(177151, 3), 531385, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(968, 88575, F9, 13, 13) (dual of [(88575, 13), 1151407, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |