Information on Result #1452739
Linear OOA(9146, 4783030, F9, 2, 22) (dual of [(4783030, 2), 9565914, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9146, 4783030, F9, 22) (dual of [4783030, 4782884, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(13) [i] based on
- linear OA(9134, 4782969, F9, 22) (dual of [4782969, 4782835, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(912, 61, F9, 7) (dual of [61, 49, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 67, F9, 7) (dual of [67, 55, 8]-code), using
Mode: 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(9146, 2391515, F9, 3, 22) (dual of [(2391515, 3), 7174399, 23]-NRT-code) | [i] | OOA Folding | |