Information on Result #1530231
Linear OOA(3221, 4194347, F3, 3, 20) (dual of [(4194347, 3), 12582820, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3221, 4194347, F3, 2, 20) (dual of [(4194347, 2), 8388473, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(325, 46, F3, 2, 10) (dual of [(46, 2), 67, 11]-NRT-code), using
- linear OOA(3196, 4194301, F3, 2, 20) (dual of [(4194301, 2), 8388406, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3196, 8388602, F3, 20) (dual of [8388602, 8388406, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- OOA 2-folding [i] based on linear OA(3196, 8388602, F3, 20) (dual of [8388602, 8388406, 21]-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(3221, 2097173, F3, 5, 20) (dual of [(2097173, 5), 10485644, 21]-NRT-code) | [i] | OOA Folding | |