Information on Result #1550128
Linear OOA(5131, 4167792, F5, 3, 17) (dual of [(4167792, 3), 12503245, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(5131, 4167792, F5, 2, 17) (dual of [(4167792, 2), 8335453, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5131, 4194301, F5, 2, 17) (dual of [(4194301, 2), 8388471, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5131, 8388602, F5, 17) (dual of [8388602, 8388471, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(5131, large, F5, 17) (dual of [large, large−131, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(5131, large, F5, 17) (dual of [large, large−131, 18]-code), using
- OOA 2-folding [i] based on linear OA(5131, 8388602, F5, 17) (dual of [8388602, 8388471, 18]-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(5131, 1389263, F5, 21, 17) (dual of [(1389263, 21), 29174392, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |