Information on Result #991212
Linear OOA(8146, 177148, F81, 3, 16) (dual of [(177148, 3), 531398, 17]-NRT-code), using OOA 3-folding based on linear OA(8146, 531444, F81, 16) (dual of [531444, 531398, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(8143, 531441, F81, 15) (dual of [531441, 531398, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 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(8154, 177230, F81, 3, 16) (dual of [(177230, 3), 531636, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8155, 177248, F81, 3, 16) (dual of [(177248, 3), 531689, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(8156, 177264, F81, 3, 16) (dual of [(177264, 3), 531736, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(8158, 177312, F81, 3, 16) (dual of [(177312, 3), 531878, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(8159, 177330, F81, 3, 16) (dual of [(177330, 3), 531931, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(8160, 177348, F81, 3, 16) (dual of [(177348, 3), 531984, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(8160, 177394, F81, 3, 16) (dual of [(177394, 3), 532122, 17]-NRT-code) | [i] | ||