Information on Result #1081120
Linear OOA(3144, 2097157, F3, 4, 14) (dual of [(2097157, 4), 8388484, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(38, 7, F3, 4, 7) (dual of [(7, 4), 20, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,20P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3136, 2097150, F3, 4, 14) (dual of [(2097150, 4), 8388464, 15]-NRT-code), using
- OOA 4-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 4-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(3205, 4194314, F3, 4, 14) (dual of [(4194314, 4), 16777051, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |