Information on Result #1117182
Linear OOA(3112, 1677727, F3, 5, 11) (dual of [(1677727, 5), 8388523, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(36, 7, F3, 5, 5) (dual of [(7, 5), 29, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(36, 7, F3, 4, 5) (dual of [(7, 4), 22, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,22P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- appending kth column [i] based on linear OOA(36, 7, F3, 4, 5) (dual of [(7, 4), 22, 6]-NRT-code), using
- linear OOA(3106, 1677720, F3, 5, 11) (dual of [(1677720, 5), 8388494, 12]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3106, 8388600, F3, 11) (dual of [8388600, 8388494, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- OOA 5-folding [i] based on linear OA(3106, 8388600, F3, 11) (dual of [8388600, 8388494, 12]-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(3155, 3355454, F3, 5, 11) (dual of [(3355454, 5), 16777115, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3175, 5033181, F3, 5, 11) (dual of [(5033181, 5), 25165730, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3112, 1677726, F3, 15, 11) (dual of [(1677726, 15), 25165778, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |