Information on Result #2503298
Linear OOA(544, large, F5, 2, 5), using 1 times NRT-code embedding in larger space based on linear OOA(542, 8388602, F5, 2, 5) (dual of [(8388602, 2), 16777162, 6]-NRT-code), using
- trace code [i] based on linear OOA(2521, 4194301, F25, 2, 5) (dual of [(4194301, 2), 8388581, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2521, 8388602, F25, 5) (dual of [8388602, 8388581, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(2521, large, F25, 5) (dual of [large, large−21, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, 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(2521, large, F25, 5) (dual of [large, large−21, 6]-code), using
- OOA 2-folding [i] based on linear OA(2521, 8388602, F25, 5) (dual of [8388602, 8388581, 6]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(545, large, F5, 2, 5) | [i] | OOA Duplication | |
| 2 | Linear OOA(544, 8388602, F5, 3, 5) (dual of [(8388602, 3), 25165762, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(544, 8388602, F5, 6, 5) (dual of [(8388602, 6), 50331568, 6]-NRT-code) | [i] | ||