Information on Result #1084489
Linear OOA(3237, 78, F3, 4, 125) (dual of [(78, 4), 75, 126]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(356, 26, F3, 4, 41) (dual of [(26, 4), 48, 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, 26, F3, 4, 62) (dual of [(26, 4), 27, 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(3104, 26, F3, 4, 104) (dual of [(26, 4), 0, 105]-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(3237, 78, F3, 4, 124) (dual of [(78, 4), 75, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3237, 78, F3, 4, 123) (dual of [(78, 4), 75, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(3237, 78, F3, 4, 122) (dual of [(78, 4), 75, 123]-NRT-code) | [i] | ||
| 4 | Linear OOA(3238, 78, F3, 4, 125) (dual of [(78, 4), 74, 126]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3236, 77, F3, 4, 124) (dual of [(77, 4), 72, 125]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3235, 77, F3, 4, 123) (dual of [(77, 4), 73, 124]-NRT-code) | [i] | ||
| 7 | Linear OOA(3234, 77, F3, 4, 122) (dual of [(77, 4), 74, 123]-NRT-code) | [i] | ||
| 8 | Linear OOA(3233, 77, F3, 4, 121) (dual of [(77, 4), 75, 122]-NRT-code) | [i] | ||
| 9 | Linear OOA(3231, 76, F3, 4, 119) (dual of [(76, 4), 73, 120]-NRT-code) | [i] | ||
| 10 | Linear OOA(3229, 76, F3, 4, 117) (dual of [(76, 4), 75, 118]-NRT-code) | [i] | ||