Information on Result #904298
Linear OOA(8146, 8388602, F81, 2, 9) (dual of [(8388602, 2), 16777158, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8113, 4194301, F81, 2, 4) (dual of [(4194301, 2), 8388589, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8113, 8388602, F81, 4) (dual of [8388602, 8388589, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(8113, large, F81, 4) (dual of [large, large−13, 5]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(8113, large, F81, 4) (dual of [large, large−13, 5]-code), using
- OOA 2-folding [i] based on linear OA(8113, 8388602, F81, 4) (dual of [8388602, 8388589, 5]-code), using
- 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
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(8148, large, F81, 2, 9) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8150, large, F81, 2, 9) | [i] | ||
| 3 | Linear OOA(8152, large, F81, 2, 9) | [i] | ||
| 4 | Linear OOA(8154, large, F81, 2, 9) | [i] | ||
| 5 | Linear OOA(8156, large, F81, 2, 9) | [i] | ||
| 6 | Linear OOA(8158, large, F81, 2, 9) | [i] | ||
| 7 | Linear OOA(8160, large, F81, 2, 9) | [i] | ||
| 8 | Linear OOA(8162, large, F81, 2, 9) | [i] | ||
| 9 | Linear OOA(8164, large, F81, 2, 9) | [i] | ||
| 10 | Linear OOA(8166, large, F81, 2, 9) | [i] | ||
| 11 | Linear OOA(8168, large, F81, 2, 9) | [i] | ||
| 12 | Linear OOA(8170, large, F81, 2, 9) | [i] | ||
| 13 | Linear OOA(8172, large, F81, 2, 9) | [i] | ||
| 14 | Linear OOA(8174, large, F81, 2, 9) | [i] | ||
| 15 | Linear OOA(8176, large, F81, 2, 9) | [i] | ||
| 16 | Linear OOA(8178, large, F81, 2, 9) | [i] | ||
| 17 | Linear OOA(8180, large, F81, 2, 9) | [i] | ||
| 18 | Linear OOA(8182, large, F81, 2, 9) | [i] | ||
| 19 | Linear OOA(8147, 8388602, F81, 2, 9) (dual of [(8388602, 2), 16777157, 10]-NRT-code) | [i] | OOA Duplication | |
| 20 | Linear OOA(8146, 4194301, F81, 3, 9) (dual of [(4194301, 3), 12582857, 10]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(8146, 4194301, F81, 4, 9) (dual of [(4194301, 4), 16777158, 10]-NRT-code) | [i] | ||
| 22 | Linear OOA(8146, 4194300, F81, 10, 9) (dual of [(4194300, 10), 41942954, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |