Information on Result #978841
Linear OOA(837, 10926, F8, 3, 8) (dual of [(10926, 3), 32741, 9]-NRT-code), using OOA 3-folding based on linear OA(837, 32778, F8, 8) (dual of [32778, 32741, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(837, 32779, F8, 8) (dual of [32779, 32742, 9]-code), using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(826, 32768, F8, 6) (dual of [32768, 32742, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
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(8159, 5603328, F8, 3, 16) (dual of [(5603328, 3), 16809825, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8167, 5603328, F8, 3, 17) (dual of [(5603328, 3), 16809817, 18]-NRT-code) | [i] | ||