Information on Result #895104
Linear OOA(3193, 6585786, F3, 2, 14) (dual of [(6585786, 2), 13171379, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(357, 2391485, F3, 2, 7) (dual of [(2391485, 2), 4782913, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- linear OOA(3136, 4194301, F3, 2, 14) (dual of [(4194301, 2), 8388466, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3136, 8388602, F3, 14) (dual of [8388602, 8388466, 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 2-folding [i] based on linear OA(3136, 8388602, F3, 14) (dual of [8388602, 8388466, 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(3193, 3292893, F3, 3, 14) (dual of [(3292893, 3), 9878486, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3193, 3292893, F3, 4, 14) (dual of [(3292893, 4), 13171379, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(3193, 2195262, F3, 5, 14) (dual of [(2195262, 5), 10976117, 15]-NRT-code) | [i] | ||