Information on Result #1080858
Linear OOA(380, 2097154, F3, 4, 8) (dual of [(2097154, 4), 8388536, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(34, 4, F3, 4, 4) (dual of [(4, 4), 12, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;12,3) [i]
- linear OOA(376, 2097150, F3, 4, 8) (dual of [(2097150, 4), 8388524, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(376, 8388600, F3, 8) (dual of [8388600, 8388524, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- OOA 4-folding [i] based on linear OA(376, 8388600, F3, 8) (dual of [8388600, 8388524, 9]-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(3108, 4194308, F3, 4, 8) (dual of [(4194308, 4), 16777124, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3237, 4194304, F3, 4, 16) (dual of [(4194304, 4), 16776979, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(3239, 4194308, F3, 4, 16) (dual of [(4194308, 4), 16776993, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(3240, 4194311, F3, 4, 16) (dual of [(4194311, 4), 16777004, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(380, 2097153, F3, 5, 8) (dual of [(2097153, 5), 10485685, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 6 | Linear OOA(380, 2097153, F3, 12, 8) (dual of [(2097153, 12), 25165756, 9]-NRT-code) | [i] | ||