Information on Result #1525336
Linear OOA(3166, 4194342, F3, 3, 15) (dual of [(4194342, 3), 12582860, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3166, 4194342, F3, 2, 15) (dual of [(4194342, 2), 8388518, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(316, 41, F3, 2, 7) (dual of [(41, 2), 66, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- linear OOA(3150, 4194301, F3, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 16]-code), using
- linear OOA(316, 41, F3, 2, 7) (dual of [(41, 2), 66, 8]-NRT-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(3166, 2097171, F3, 5, 15) (dual of [(2097171, 5), 10485689, 16]-NRT-code) | [i] | OOA Folding | |