Information on Result #1079224
Linear OOA(3140, large, F3, 4, 9), using trace code based on linear OOA(8135, 2097151, F81, 4, 9) (dual of [(2097151, 4), 8388569, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(8135, 4194302, F81, 2, 9) (dual of [(4194302, 2), 8388569, 10]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8133, 4194301, F81, 2, 9) (dual of [(4194301, 2), 8388569, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8133, 8388602, F81, 9) (dual of [8388602, 8388569, 10]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
- OOA 2-folding [i] based on linear OA(8133, 8388602, F81, 9) (dual of [8388602, 8388569, 10]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8133, 4194301, F81, 2, 9) (dual of [(4194301, 2), 8388569, 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(3140, large, F3, 4, 8) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3140, large, F3, 4, 7) | [i] | ||
| 3 | Linear OOA(3140, large, F3, 4, 6) | [i] | ||
| 4 | Linear OOA(3140, large, F3, 4, 5) | [i] | ||
| 5 | Linear OOA(3140, large, F3, 4, 4) | [i] | ||
| 6 | Linear OOA(3140, large, F3, 4, 3) | [i] | ||
| 7 | Linear OOA(3141, large, F3, 4, 9) | [i] | OOA Duplication | |
| 8 | Linear OOA(3142, large, F3, 4, 9) | [i] | ||
| 9 | Linear OOA(3143, large, F3, 4, 9) | [i] | ||