Information on Result #978850
Linear OOA(846, 174767, F8, 3, 8) (dual of [(174767, 3), 524255, 9]-NRT-code), using OOA 3-folding based on linear OA(846, 524301, F8, 8) (dual of [524301, 524255, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(846, 524302, F8, 8) (dual of [524302, 524256, 9]-code), using
- trace code [i] based on linear OA(6423, 262151, F64, 8) (dual of [262151, 262128, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(6416, 262144, F64, 6) (dual of [262144, 262128, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 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
- trace code [i] based on linear OA(6423, 262151, F64, 8) (dual of [262151, 262128, 9]-code), 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(847, 174767, F8, 3, 8) (dual of [(174767, 3), 524254, 9]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8168, 5767169, F8, 3, 16) (dual of [(5767169, 3), 17301339, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |