Information on Result #1060098
Linear OOA(3190, 2391496, F3, 4, 15) (dual of [(2391496, 4), 9565794, 16]-NRT-code), using OOA 2-folding based on linear OOA(3190, 4782992, F3, 2, 15) (dual of [(4782992, 2), 9565794, 16]-NRT-code), using
- trace code [i] based on linear OOA(995, 2391496, F9, 2, 15) (dual of [(2391496, 2), 4782897, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(995, 4782992, F9, 15) (dual of [4782992, 4782897, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(995, 4782993, F9, 15) (dual of [4782993, 4782898, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(11) [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(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(93, 24, F9, 2) (dual of [24, 21, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- construction X applied to Ce(14) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(995, 4782993, F9, 15) (dual of [4782993, 4782898, 16]-code), using
- OOA 2-folding [i] based on linear OA(995, 4782992, F9, 15) (dual of [4782992, 4782897, 16]-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(3191, 2391496, F3, 4, 15) (dual of [(2391496, 4), 9565793, 16]-NRT-code) | [i] | OOA Duplication | |