Information on Result #1026385
Linear OOA(3206, 71, F3, 3, 157) (dual of [(71, 3), 7, 158]-NRT-code), using juxtaposition based on
- linear OOA(338, 15, F3, 3, 31) (dual of [(15, 3), 7, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(338, 16, F3, 3, 31) (dual of [(16, 3), 10, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F3 with g(F) = 7 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(338, 16, F3, 3, 31) (dual of [(16, 3), 10, 32]-NRT-code), using
- linear OOA(3161, 56, F3, 3, 125) (dual of [(56, 3), 7, 126]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(377, 28, F3, 3, 62) (dual of [(28, 3), 7, 63]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,21P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- repeating each code word 2 times [i] based on linear OOA(377, 28, F3, 3, 62) (dual of [(28, 3), 7, 63]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(3206, 71, F3, 3, 156) (dual of [(71, 3), 7, 157]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3206, 71, F3, 3, 155) (dual of [(71, 3), 7, 156]-NRT-code) | [i] | ||
| 3 | Linear OOA(3206, 71, F3, 3, 154) (dual of [(71, 3), 7, 155]-NRT-code) | [i] | ||
| 4 | Linear OOA(3206, 71, F3, 3, 153) (dual of [(71, 3), 7, 154]-NRT-code) | [i] | ||
| 5 | Linear OOA(3206, 71, F3, 3, 152) (dual of [(71, 3), 7, 153]-NRT-code) | [i] | ||