Information on Result #893933
Linear OOA(742, 8388602, F7, 2, 5) (dual of [(8388602, 2), 16777162, 6]-NRT-code), using trace code based on linear OOA(4921, 4194301, F49, 2, 5) (dual of [(4194301, 2), 8388581, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4921, 8388602, F49, 5) (dual of [8388602, 8388581, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(4921, large, F49, 5) (dual of [large, large−21, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28247525 | 4910−1, 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(4921, large, F49, 5) (dual of [large, large−21, 6]-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(742, 8388601, F7, 3, 5) (dual of [(8388601, 3), 25165761, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(742, 8388601, F7, 6, 5) (dual of [(8388601, 6), 50331564, 6]-NRT-code) | [i] | ||