Information on Result #1546161
Linear OOA(4253, 3759972, F4, 3, 28) (dual of [(3759972, 3), 11279663, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4253, 3759972, F4, 2, 28) (dual of [(3759972, 2), 7519691, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4253, 4194301, F4, 2, 28) (dual of [(4194301, 2), 8388349, 29]-NRT-code), using
- strength reduction [i] based on linear OOA(4253, 4194301, F4, 2, 29) (dual of [(4194301, 2), 8388349, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4253, 8388602, F4, 29) (dual of [8388602, 8388349, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4253, large, F4, 29) (dual of [large, large−253, 30]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- discarding factors / shortening the dual code based on linear OA(4253, large, F4, 29) (dual of [large, large−253, 30]-code), using
- OOA 2-folding [i] based on linear OA(4253, 8388602, F4, 29) (dual of [8388602, 8388349, 30]-code), using
- strength reduction [i] based on linear OOA(4253, 4194301, F4, 2, 29) (dual of [(4194301, 2), 8388349, 30]-NRT-code), using
Mode: 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(4253, 751994, F4, 33, 28) (dual of [(751994, 33), 24815549, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |