Information on Result #876270
Linear OOA(8117, 4194301, F81, 2, 5) (dual of [(4194301, 2), 8388585, 6]-NRT-code), using OOA 2-folding 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]
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(8118, 4194301, F81, 2, 5) (dual of [(4194301, 2), 8388584, 6]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(934, 8388602, F9, 2, 5) (dual of [(8388602, 2), 16777170, 6]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8119, 4194383, F81, 2, 5) (dual of [(4194383, 2), 8388747, 6]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(8120, 4200944, F81, 2, 5) (dual of [(4200944, 2), 8401868, 6]-NRT-code) | [i] | ||
| 5 | Linear OOA(8121, 4732385, F81, 2, 5) (dual of [(4732385, 2), 9464749, 6]-NRT-code) | [i] | ||
| 6 | Linear OOA(8122, 8388602, F81, 2, 5) (dual of [(8388602, 2), 16777182, 6]-NRT-code) | [i] | ||
| 7 | Linear OOA(8154, 8388602, F81, 2, 10) (dual of [(8388602, 2), 16777150, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(8158, 8388602, F81, 2, 11) (dual of [(8388602, 2), 16777146, 12]-NRT-code) | [i] | ||