Information on Result #850987
Linear OOA(9104, 2391521, F9, 2, 15) (dual of [(2391521, 2), 4782938, 16]-NRT-code), using OOA 2-folding based on linear OA(9104, 4783042, F9, 15) (dual of [4783042, 4782938, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(9104, 4783043, F9, 15) (dual of [4783043, 4782939, 16]-code), using
- (u, u+v)-construction [i] based on
- linear OA(912, 67, F9, 7) (dual of [67, 55, 8]-code), using
- linear OA(992, 4782976, F9, 15) (dual of [4782976, 4782884, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- 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(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- (u, u+v)-construction [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(3208, 4783042, F3, 2, 15) (dual of [(4783042, 2), 9565876, 16]-NRT-code) | [i] | Trace Code for OOAs | |