Information on Result #1121215
Linear OOA(3200, 41, F3, 5, 175) (dual of [(41, 5), 5, 176]-NRT-code), using juxtaposition based on
- linear OOA(320, 5, F3, 5, 19) (dual of [(5, 5), 5, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(320, 7, F3, 5, 19) (dual of [(7, 5), 15, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,15P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(320, 7, F3, 5, 19) (dual of [(7, 5), 15, 20]-NRT-code), using
- linear OOA(3175, 36, F3, 5, 155) (dual of [(36, 5), 5, 156]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(355, 12, F3, 5, 51) (dual of [(12, 5), 5, 52]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,8P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- repeating each code word 3 times [i] based on linear OOA(355, 12, F3, 5, 51) (dual of [(12, 5), 5, 52]-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(3200, 41, F3, 5, 174) (dual of [(41, 5), 5, 175]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3200, 41, F3, 5, 173) (dual of [(41, 5), 5, 174]-NRT-code) | [i] | ||
| 3 | Linear OOA(3200, 41, F3, 5, 172) (dual of [(41, 5), 5, 173]-NRT-code) | [i] | ||
| 4 | Linear OOA(3200, 41, F3, 5, 171) (dual of [(41, 5), 5, 172]-NRT-code) | [i] | ||