Information on Result #978837
Linear OOA(832, 2734, F8, 3, 8) (dual of [(2734, 3), 8170, 9]-NRT-code), using OOA 3-folding based on linear OA(832, 8202, F8, 8) (dual of [8202, 8170, 9]-code), using
- trace code [i] based on linear OA(6416, 4101, F64, 8) (dual of [4101, 4085, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(6415, 4096, F64, 8) (dual of [4096, 4081, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(6411, 4096, F64, 6) (dual of [4096, 4085, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ 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(833, 2734, F8, 3, 8) (dual of [(2734, 3), 8169, 9]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8154, 5595136, F8, 3, 16) (dual of [(5595136, 3), 16785254, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(8162, 5595136, F8, 3, 17) (dual of [(5595136, 3), 16785246, 18]-NRT-code) | [i] | ||