Information on Result #1084414
Linear OOA(3247, 78, F3, 4, 137) (dual of [(78, 4), 65, 138]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(360, 26, F3, 4, 45) (dual of [(26, 4), 44, 46]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(360, 28, F3, 4, 45) (dual of [(28, 4), 52, 46]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,66P) [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(360, 28, F3, 4, 45) (dual of [(28, 4), 52, 46]-NRT-code), using
- linear OOA(383, 26, F3, 4, 68) (dual of [(26, 4), 21, 69]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(383, 28, F3, 4, 68) (dual of [(28, 4), 29, 69]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,43P) [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(383, 28, F3, 4, 68) (dual of [(28, 4), 29, 69]-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(3247, 78, F3, 4, 136) (dual of [(78, 4), 65, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3247, 78, F3, 4, 135) (dual of [(78, 4), 65, 136]-NRT-code) | [i] | ||
| 3 | Linear OOA(3247, 78, F3, 4, 134) (dual of [(78, 4), 65, 135]-NRT-code) | [i] | ||
| 4 | Linear OOA(3247, 78, F3, 4, 133) (dual of [(78, 4), 65, 134]-NRT-code) | [i] | ||
| 5 | Linear OOA(3248, 78, F3, 4, 137) (dual of [(78, 4), 64, 138]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3246, 77, F3, 4, 136) (dual of [(77, 4), 62, 137]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3245, 77, F3, 4, 135) (dual of [(77, 4), 63, 136]-NRT-code) | [i] | ||
| 8 | Linear OOA(3244, 77, F3, 4, 134) (dual of [(77, 4), 64, 135]-NRT-code) | [i] | ||
| 9 | Linear OOA(3243, 77, F3, 4, 133) (dual of [(77, 4), 65, 134]-NRT-code) | [i] | ||
| 10 | Linear OOA(3241, 76, F3, 4, 131) (dual of [(76, 4), 63, 132]-NRT-code) | [i] | ||
| 11 | Linear OOA(3239, 76, F3, 4, 129) (dual of [(76, 4), 65, 130]-NRT-code) | [i] | ||