Information on Result #1026181
Linear OOA(3202, 71, F3, 3, 145) (dual of [(71, 3), 11, 146]-NRT-code), using juxtaposition based on
- linear OOA(334, 15, F3, 3, 27) (dual of [(15, 3), 11, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(334, 16, F3, 3, 27) (dual of [(16, 3), 14, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,20P) [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(334, 16, F3, 3, 27) (dual of [(16, 3), 14, 28]-NRT-code), using
- linear OOA(3157, 56, F3, 3, 117) (dual of [(56, 3), 11, 118]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(373, 28, F3, 3, 58) (dual of [(28, 3), 11, 59]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,25P) [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(373, 28, F3, 3, 58) (dual of [(28, 3), 11, 59]-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(3202, 71, F3, 3, 144) (dual of [(71, 3), 11, 145]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3202, 71, F3, 3, 143) (dual of [(71, 3), 11, 144]-NRT-code) | [i] | ||
| 3 | Linear OOA(3202, 71, F3, 3, 142) (dual of [(71, 3), 11, 143]-NRT-code) | [i] | ||
| 4 | Linear OOA(3202, 71, F3, 3, 141) (dual of [(71, 3), 11, 142]-NRT-code) | [i] | ||