Information on Result #904342
Linear OOA(8158, 8388602, F81, 2, 11) (dual of [(8388602, 2), 16777146, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8117, 4194301, F81, 2, 5) (dual of [(4194301, 2), 8388585, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8117, 8388602, F81, 5) (dual of [8388602, 8388585, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(8117, large, F81, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8117, large, F81, 5) (dual of [large, large−17, 6]-code), using
- OOA 2-folding [i] based on linear OA(8117, 8388602, F81, 5) (dual of [8388602, 8388585, 6]-code), using
- linear OOA(8141, 4194301, F81, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8141, 8388602, F81, 11) (dual of [8388602, 8388561, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- OOA 2-folding [i] based on linear OA(8141, 8388602, F81, 11) (dual of [8388602, 8388561, 12]-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(8160, large, F81, 2, 11) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8162, large, F81, 2, 11) | [i] | ||
| 3 | Linear OOA(8164, large, F81, 2, 11) | [i] | ||
| 4 | Linear OOA(8166, large, F81, 2, 11) | [i] | ||
| 5 | Linear OOA(8168, large, F81, 2, 11) | [i] | ||
| 6 | Linear OOA(8170, large, F81, 2, 11) | [i] | ||
| 7 | Linear OOA(8172, large, F81, 2, 11) | [i] | ||
| 8 | Linear OOA(8174, large, F81, 2, 11) | [i] | ||
| 9 | Linear OOA(8176, large, F81, 2, 11) | [i] | ||
| 10 | Linear OOA(8178, large, F81, 2, 11) | [i] | ||
| 11 | Linear OOA(8180, large, F81, 2, 11) | [i] | ||
| 12 | Linear OOA(8182, large, F81, 2, 11) | [i] | ||
| 13 | Linear OOA(8159, 8388602, F81, 2, 11) (dual of [(8388602, 2), 16777145, 12]-NRT-code) | [i] | OOA Duplication | |
| 14 | Linear OOA(8158, 4194301, F81, 3, 11) (dual of [(4194301, 3), 12582845, 12]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(8158, 4194301, F81, 4, 11) (dual of [(4194301, 4), 16777146, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(8158, 2796200, F81, 14, 11) (dual of [(2796200, 14), 39146742, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |