Information on Result #895211
Linear OOA(3211, 4199221, F3, 2, 17) (dual of [(4199221, 2), 8398231, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(345, 4920, F3, 2, 8) (dual of [(4920, 2), 9795, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(345, 9840, F3, 8) (dual of [9840, 9795, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(345, 9841, F3, 8) (dual of [9841, 9796, 9]-code), using
- OOA 2-folding [i] based on linear OA(345, 9840, F3, 8) (dual of [9840, 9795, 9]-code), using
- linear OOA(3166, 4194301, F3, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 18]-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(3211, 2099610, F3, 4, 17) (dual of [(2099610, 4), 8398229, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3211, 1049805, F3, 18, 17) (dual of [(1049805, 18), 18896279, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |