Information on Result #876259
Linear OOA(8113, 4194301, F81, 2, 4) (dual of [(4194301, 2), 8388589, 5]-NRT-code), using OOA 2-folding 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]
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(8114, 4194301, F81, 2, 4) (dual of [(4194301, 2), 8388588, 5]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(926, 8388602, F9, 2, 4) (dual of [(8388602, 2), 16777178, 5]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8115, 4194383, F81, 2, 4) (dual of [(4194383, 2), 8388751, 5]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(8116, 4200944, F81, 2, 4) (dual of [(4200944, 2), 8401872, 5]-NRT-code) | [i] | ||
| 5 | Linear OOA(8117, 4732385, F81, 2, 4) (dual of [(4732385, 2), 9464753, 5]-NRT-code) | [i] | ||
| 6 | Linear OOA(8118, 8388602, F81, 2, 4) (dual of [(8388602, 2), 16777186, 5]-NRT-code) | [i] | ||
| 7 | Linear OOA(8142, 8388602, F81, 2, 8) (dual of [(8388602, 2), 16777162, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(8146, 8388602, F81, 2, 9) (dual of [(8388602, 2), 16777158, 10]-NRT-code) | [i] | ||