Information on Result #689157
Linear OA(931, 531447, F9, 6) (dual of [531447, 531416, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(931, 531441, F9, 6) (dual of [531441, 531410, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(925, 531441, F9, 5) (dual of [531441, 531416, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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
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(931, 531447, F9, 2, 6) (dual of [(531447, 2), 1062863, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(931, 531447, F9, 3, 6) (dual of [(531447, 3), 1594310, 7]-NRT-code) | [i] | ||
| 3 | Digital (25, 31, 531447)-net over F9 | [i] | ||
| 4 | Linear OOA(931, 265723, F9, 2, 6) (dual of [(265723, 2), 531415, 7]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(931, 177149, F9, 3, 6) (dual of [(177149, 3), 531416, 7]-NRT-code) | [i] | ||
| 6 | Linear OOA(931, 177149, F9, 6, 6) (dual of [(177149, 6), 1062863, 7]-NRT-code) | [i] | OA Folding and Stacking | |