Information on Result #1117509
Linear OOA(3161, 1677963, F3, 5, 14) (dual of [(1677963, 5), 8389654, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(325, 243, F3, 5, 7) (dual of [(243, 5), 1190, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(325, 730, F3, 7) (dual of [730, 705, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding and stacking with additional row [i] based on linear OA(325, 730, F3, 7) (dual of [730, 705, 8]-code), using
- linear OOA(3136, 1677720, F3, 5, 14) (dual of [(1677720, 5), 8388464, 15]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3136, 8388600, F3, 14) (dual of [8388600, 8388464, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- OOA 5-folding [i] based on linear OA(3136, 8388600, F3, 14) (dual of [8388600, 8388464, 15]-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(3250, 5033889, F3, 5, 14) (dual of [(5033889, 5), 25169195, 15]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |