Information on Result #689139
Linear OA(9121, 531447, F9, 23) (dual of [531447, 531326, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(9121, 531441, F9, 23) (dual of [531441, 531320, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(9115, 531441, F9, 22) (dual of [531441, 531326, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(9121, 265723, F9, 2, 23) (dual of [(265723, 2), 531325, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9121, 177149, F9, 3, 23) (dual of [(177149, 3), 531326, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(9121, 48313, F9, 23, 23) (dual of [(48313, 23), 1111078, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |