Information on Result #844531
Linear OOA(8161, 4194301, F8, 2, 23) (dual of [(4194301, 2), 8388441, 24]-NRT-code), using OOA 2-folding based on linear OA(8161, 8388602, F8, 23) (dual of [8388602, 8388441, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8161, large, F8, 23) (dual of [large, large−161, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
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(8163, 4194302, F8, 2, 23) (dual of [(4194302, 2), 8388441, 24]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8165, 4194303, F8, 2, 23) (dual of [(4194303, 2), 8388441, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(8167, 4194304, F8, 2, 23) (dual of [(4194304, 2), 8388441, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(8169, 4194305, F8, 2, 23) (dual of [(4194305, 2), 8388441, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(8171, 4194306, F8, 2, 23) (dual of [(4194306, 2), 8388441, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(8162, 4194301, F8, 2, 23) (dual of [(4194301, 2), 8388440, 24]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(8172, 4194310, F8, 2, 23) (dual of [(4194310, 2), 8388448, 24]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(8173, 4194315, F8, 2, 23) (dual of [(4194315, 2), 8388457, 24]-NRT-code) | [i] | ||