Information on Result #1084601
Linear OOA(3225, 81, F3, 4, 107) (dual of [(81, 4), 99, 108]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(350, 27, F3, 4, 35) (dual of [(27, 4), 58, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(350, 28, F3, 4, 35) (dual of [(28, 4), 62, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,76P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(350, 28, F3, 4, 35) (dual of [(28, 4), 62, 36]-NRT-code), using
- linear OOA(368, 27, F3, 4, 53) (dual of [(27, 4), 40, 54]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(368, 28, F3, 4, 53) (dual of [(28, 4), 44, 54]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,58P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- discarding factors / shortening the dual code based on linear OOA(368, 28, F3, 4, 53) (dual of [(28, 4), 44, 54]-NRT-code), using
- linear OOA(3107, 27, F3, 4, 107) (dual of [(27, 4), 1, 108]-NRT-code), using
- dual of repetition NRT-code with length 27 [i]
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(3225, 81, F3, 4, 106) (dual of [(81, 4), 99, 107]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3225, 81, F3, 4, 105) (dual of [(81, 4), 99, 106]-NRT-code) | [i] | ||
| 3 | Linear OOA(3225, 81, F3, 4, 104) (dual of [(81, 4), 99, 105]-NRT-code) | [i] | ||
| 4 | Linear OOA(3226, 81, F3, 4, 107) (dual of [(81, 4), 98, 108]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3227, 81, F3, 4, 107) (dual of [(81, 4), 97, 108]-NRT-code) | [i] | ||
| 6 | Linear OOA(3224, 80, F3, 4, 106) (dual of [(80, 4), 96, 107]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3221, 80, F3, 4, 103) (dual of [(80, 4), 99, 104]-NRT-code) | [i] | ||