Information on Result #851215
Linear OOA(9116, 2391496, F9, 2, 18) (dual of [(2391496, 2), 4782876, 19]-NRT-code), using OOA 2-folding based on linear OA(9116, 4782992, F9, 18) (dual of [4782992, 4782876, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(9116, 4782993, F9, 18) (dual of [4782993, 4782877, 19]-code), using
- 1 times truncation [i] based on linear OA(9117, 4782994, F9, 19) (dual of [4782994, 4782877, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(18) ⊂ Ce(14) [i] based on
- 1 times truncation [i] based on linear OA(9117, 4782994, F9, 19) (dual of [4782994, 4782877, 20]-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(3232, 4782992, F3, 2, 18) (dual of [(4782992, 2), 9565752, 19]-NRT-code) | [i] | Trace Code for OOAs | |