Information on Result #1084490
Linear OOA(3241, 81, F3, 4, 125) (dual of [(81, 4), 83, 126]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(356, 27, F3, 4, 41) (dual of [(27, 4), 52, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(356, 28, F3, 4, 41) (dual of [(28, 4), 56, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,70P) [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(356, 28, F3, 4, 41) (dual of [(28, 4), 56, 42]-NRT-code), using
- linear OOA(377, 27, F3, 4, 62) (dual of [(27, 4), 31, 63]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(377, 28, F3, 4, 62) (dual of [(28, 4), 35, 63]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,49P) [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(377, 28, F3, 4, 62) (dual of [(28, 4), 35, 63]-NRT-code), using
- linear OOA(3108, 27, F3, 4, 108) (dual of [(27, 4), 0, 109]-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(3241, 81, F3, 4, 124) (dual of [(81, 4), 83, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3241, 81, F3, 4, 123) (dual of [(81, 4), 83, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(3241, 81, F3, 4, 122) (dual of [(81, 4), 83, 123]-NRT-code) | [i] | ||
| 4 | Linear OOA(3242, 81, F3, 4, 125) (dual of [(81, 4), 82, 126]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3240, 80, F3, 4, 124) (dual of [(80, 4), 80, 125]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3239, 80, F3, 4, 123) (dual of [(80, 4), 81, 124]-NRT-code) | [i] | ||
| 7 | Linear OOA(3238, 80, F3, 4, 122) (dual of [(80, 4), 82, 123]-NRT-code) | [i] | ||
| 8 | Linear OOA(3237, 80, F3, 4, 121) (dual of [(80, 4), 83, 122]-NRT-code) | [i] | ||
| 9 | Linear OOA(3236, 79, F3, 4, 120) (dual of [(79, 4), 80, 121]-NRT-code) | [i] | ||
| 10 | Linear OOA(3235, 79, F3, 4, 119) (dual of [(79, 4), 81, 120]-NRT-code) | [i] | ||
| 11 | Linear OOA(3234, 79, F3, 4, 118) (dual of [(79, 4), 82, 119]-NRT-code) | [i] | ||
| 12 | Linear OOA(3233, 79, F3, 4, 117) (dual of [(79, 4), 83, 118]-NRT-code) | [i] | ||