Information on Result #1087604
Linear OOA(3207, 53, F3, 4, 174) (dual of [(53, 4), 5, 175]-NRT-code), using juxtaposition based on
- linear OOA(315, 5, F3, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(315, 7, F3, 4, 14) (dual of [(7, 4), 13, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,13P) [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(315, 7, F3, 4, 14) (dual of [(7, 4), 13, 15]-NRT-code), using
- linear OOA(3187, 48, F3, 4, 159) (dual of [(48, 4), 5, 160]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(343, 12, F3, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,8P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- repeating each code word 4 times [i] based on linear OOA(343, 12, F3, 4, 39) (dual of [(12, 4), 5, 40]-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(3207, 53, F3, 4, 173) (dual of [(53, 4), 5, 174]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3207, 53, F3, 4, 172) (dual of [(53, 4), 5, 173]-NRT-code) | [i] | ||
| 3 | Linear OOA(3207, 53, F3, 4, 171) (dual of [(53, 4), 5, 172]-NRT-code) | [i] | ||
| 4 | Linear OOA(3207, 53, F3, 4, 170) (dual of [(53, 4), 5, 171]-NRT-code) | [i] | ||