Information on Result #1026115
Linear OOA(3209, 74, F3, 3, 146) (dual of [(74, 3), 13, 147]-NRT-code), using juxtaposition based on
- linear OOA(341, 18, F3, 3, 32) (dual of [(18, 3), 13, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(341, 19, F3, 3, 32) (dual of [(19, 3), 16, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,24P) [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using
- discarding factors / shortening the dual code based on linear OOA(341, 19, F3, 3, 32) (dual of [(19, 3), 16, 33]-NRT-code), using
- linear OOA(3155, 56, F3, 3, 113) (dual of [(56, 3), 13, 114]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(371, 28, F3, 3, 56) (dual of [(28, 3), 13, 57]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,27P) [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(371, 28, F3, 3, 56) (dual of [(28, 3), 13, 57]-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(3209, 74, F3, 3, 145) (dual of [(74, 3), 13, 146]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3209, 74, F3, 3, 144) (dual of [(74, 3), 13, 145]-NRT-code) | [i] | ||
| 3 | Linear OOA(3209, 74, F3, 3, 143) (dual of [(74, 3), 13, 144]-NRT-code) | [i] | ||
| 4 | Linear OOA(3209, 74, F3, 3, 142) (dual of [(74, 3), 13, 143]-NRT-code) | [i] | ||
| 5 | Linear OOA(3209, 74, F3, 3, 141) (dual of [(74, 3), 13, 142]-NRT-code) | [i] | ||