Information on Result #801644
Linear OA(9131, 531486, F9, 23) (dual of [531486, 531355, 24]-code), using construction X applied to Ce(22) ⊂ Ce(15) 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(985, 531441, F9, 16) (dual of [531441, 531356, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(910, 45, F9, 6) (dual of [45, 35, 7]-code), using
- extracting embedded orthogonal array [i] based on digital (4, 10, 45)-net over F9, 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(9131, 265743, F9, 2, 23) (dual of [(265743, 2), 531355, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9131, 177162, F9, 3, 23) (dual of [(177162, 3), 531355, 24]-NRT-code) | [i] | ||