Information on Result #894023
Linear OOA(8162, 8388602, F8, 2, 21) (dual of [(8388602, 2), 16777042, 22]-NRT-code), using trace code based on linear OOA(6481, 4194301, F64, 2, 21) (dual of [(4194301, 2), 8388521, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6481, 8388602, F64, 21) (dual of [8388602, 8388521, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(6481, large, F64, 21) (dual of [large, large−81, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6481, large, F64, 21) (dual of [large, large−81, 22]-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(8164, large, F8, 2, 21) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8166, large, F8, 2, 21) | [i] | ||
| 3 | Linear OOA(8168, large, F8, 2, 21) | [i] | ||
| 4 | Linear OOA(8170, large, F8, 2, 21) | [i] | ||
| 5 | Linear OOA(8172, large, F8, 2, 21) | [i] | ||
| 6 | Linear OOA(8163, 8388602, F8, 2, 21) (dual of [(8388602, 2), 16777041, 22]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(8162, 4194301, F8, 3, 21) (dual of [(4194301, 3), 12582741, 22]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(8162, 1677720, F8, 22, 21) (dual of [(1677720, 22), 36909678, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |