Information on Result #1015984
Linear OOA(991, large, F9, 3, 9), using (u, u+v)-construction based on
- linear OOA(925, 4194301, F9, 3, 4) (dual of [(4194301, 3), 12582878, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(925, 8388602, F9, 4) (dual of [8388602, 8388577, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(925, large, F9, 4) (dual of [large, large−25, 5]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(925, large, F9, 4) (dual of [large, large−25, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(925, 8388602, F9, 4) (dual of [8388602, 8388577, 5]-code), using
- linear OOA(966, 5592402, F9, 3, 9) (dual of [(5592402, 3), 16777140, 10]-NRT-code), using
- trace code [i] based on linear OOA(8133, 2796201, F81, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
- trace code [i] based on linear OOA(8133, 2796201, F81, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(991, large, F9, 3, 8) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(991, large, F9, 3, 7) | [i] | ||
| 3 | Linear OOA(991, large, F9, 3, 6) | [i] | ||
| 4 | Linear OOA(991, large, F9, 3, 5) | [i] | ||
| 5 | Linear OOA(991, large, F9, 3, 4) | [i] | ||
| 6 | Linear OOA(991, large, F9, 3, 3) | [i] | ||
| 7 | Linear OOA(994, large, F9, 3, 9) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(997, large, F9, 3, 9) | [i] | ||
| 9 | Linear OOA(9100, large, F9, 3, 9) | [i] | ||
| 10 | Linear OOA(9103, large, F9, 3, 9) | [i] | ||
| 11 | Linear OOA(9106, large, F9, 3, 9) | [i] | ||
| 12 | Linear OOA(9109, large, F9, 3, 9) | [i] | ||
| 13 | Linear OOA(9112, large, F9, 3, 9) | [i] | ||
| 14 | Linear OOA(9118, large, F9, 3, 9) | [i] | ||
| 15 | Linear OOA(9121, large, F9, 3, 9) | [i] | ||
| 16 | Linear OOA(9124, large, F9, 3, 9) | [i] | ||
| 17 | Linear OOA(9127, large, F9, 3, 9) | [i] | ||
| 18 | Linear OOA(9130, large, F9, 3, 9) | [i] | ||
| 19 | Linear OOA(9133, large, F9, 3, 9) | [i] | ||
| 20 | Linear OOA(9136, large, F9, 3, 9) | [i] | ||
| 21 | Linear OOA(9142, large, F9, 3, 9) | [i] | ||
| 22 | Linear OOA(9145, large, F9, 3, 9) | [i] | ||
| 23 | Linear OOA(9148, large, F9, 3, 9) | [i] | ||
| 24 | Linear OOA(992, large, F9, 3, 9) | [i] | OOA Duplication | |
| 25 | Linear OOA(993, large, F9, 3, 9) | [i] | ||