Information on Result #895331
Linear OOA(3247, 4194665, F3, 2, 21) (dual of [(4194665, 2), 8389083, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(337, 364, F3, 2, 10) (dual of [(364, 2), 691, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(337, 728, F3, 10) (dual of [728, 691, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 2-folding [i] based on linear OA(337, 728, F3, 10) (dual of [728, 691, 11]-code), using
- linear OOA(3210, 4194301, F3, 2, 21) (dual of [(4194301, 2), 8388392, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 22]-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(3247, 2097332, F3, 4, 21) (dual of [(2097332, 4), 8389081, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3247, 838932, F3, 22, 21) (dual of [(838932, 22), 18456257, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |