Information on Result #689209
Linear OA(989, 531469, F9, 16) (dual of [531469, 531380, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
- 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(961, 531441, F9, 12) (dual of [531441, 531380, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(94, 28, F9, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,9)), 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(989, 531469, F9, 2, 16) (dual of [(531469, 2), 1062849, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(989, 531469, F9, 3, 16) (dual of [(531469, 3), 1594318, 17]-NRT-code) | [i] | ||
| 3 | Digital (73, 89, 531469)-net over F9 | [i] | ||
| 4 | Linear OOA(989, 265734, F9, 2, 16) (dual of [(265734, 2), 531379, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(989, 177156, F9, 3, 16) (dual of [(177156, 3), 531379, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(989, 66433, F9, 16, 16) (dual of [(66433, 16), 1062839, 17]-NRT-code) | [i] | OA Folding and Stacking | |