Information on Result #689256
Linear OA(990, 531471, F9, 16) (dual of [531471, 531381, 17]-code), using construction XX applied to Ce(15) ⊂ Ce(11) ⊂ Ce(10) 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(955, 531441, F9, 11) (dual of [531441, 531386, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(94, 29, F9, 3) (dual of [29, 25, 4]-code or 29-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(990, 531471, F9, 2, 16) (dual of [(531471, 2), 1062852, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(990, 531471, F9, 3, 16) (dual of [(531471, 3), 1594323, 17]-NRT-code) | [i] | ||
| 3 | Digital (74, 90, 531471)-net over F9 | [i] | ||
| 4 | Linear OOA(990, 265735, F9, 2, 16) (dual of [(265735, 2), 531380, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(990, 177157, F9, 3, 16) (dual of [(177157, 3), 531381, 17]-NRT-code) | [i] | ||