Information on Result #1538304
Linear OOA(4157, 3563941, F4, 3, 18) (dual of [(3563941, 3), 10691666, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4157, 3563941, F4, 2, 18) (dual of [(3563941, 2), 7127725, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4157, 4194301, F4, 2, 18) (dual of [(4194301, 2), 8388445, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4157, 8388602, F4, 18) (dual of [8388602, 8388445, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- OOA 2-folding [i] based on linear OA(4157, 8388602, F4, 18) (dual of [8388602, 8388445, 19]-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(4157, 1187980, F4, 21, 18) (dual of [(1187980, 21), 24947423, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |