Information on Result #689160
Linear OA(919, 531447, F9, 4) (dual of [531447, 531428, 5]-code), using construction X applied to Ce(3) ⊂ Ce(2) based on
- linear OA(919, 531441, F9, 4) (dual of [531441, 531422, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(913, 531441, F9, 3) (dual of [531441, 531428, 4]-code or 531441-cap in PG(12,9)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [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(919, 531447, F9, 2, 4) (dual of [(531447, 2), 1062875, 5]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(919, 531447, F9, 3, 4) (dual of [(531447, 3), 1594322, 5]-NRT-code) | [i] | ||
| 3 | Linear OOA(919, 265723, F9, 2, 4) (dual of [(265723, 2), 531427, 5]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(919, 265723, F9, 3, 4) (dual of [(265723, 3), 797150, 5]-NRT-code) | [i] | OA Folding and Stacking | |