Information on Result #1008777
Linear OOA(3248, 3188662, F3, 3, 20) (dual of [(3188662, 3), 9565738, 21]-NRT-code), using trace code based on linear OOA(9124, 1594331, F9, 3, 20) (dual of [(1594331, 3), 4782869, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9124, 4782993, F9, 20) (dual of [4782993, 4782869, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(9124, 4782994, F9, 20) (dual of [4782994, 4782870, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(94, 25, F9, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,9)), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(9124, 4782994, F9, 20) (dual of [4782994, 4782870, 21]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3249, 3188662, F3, 3, 20) (dual of [(3188662, 3), 9565737, 21]-NRT-code) | [i] | OOA Duplication | |