Information on Result #1084451
Linear OOA(3246, 81, F3, 4, 131) (dual of [(81, 4), 78, 132]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(358, 27, F3, 4, 43) (dual of [(27, 4), 50, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(358, 28, F3, 4, 43) (dual of [(28, 4), 54, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,68P) [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(358, 28, F3, 4, 43) (dual of [(28, 4), 54, 44]-NRT-code), using
- linear OOA(380, 27, F3, 4, 65) (dual of [(27, 4), 28, 66]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(380, 28, F3, 4, 65) (dual of [(28, 4), 32, 66]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,46P) [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(380, 28, F3, 4, 65) (dual of [(28, 4), 32, 66]-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(3246, 81, F3, 4, 130) (dual of [(81, 4), 78, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3246, 81, F3, 4, 129) (dual of [(81, 4), 78, 130]-NRT-code) | [i] | ||
| 3 | Linear OOA(3246, 81, F3, 4, 128) (dual of [(81, 4), 78, 129]-NRT-code) | [i] | ||
| 4 | Linear OOA(3247, 81, F3, 4, 131) (dual of [(81, 4), 77, 132]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3245, 80, F3, 4, 130) (dual of [(80, 4), 75, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3244, 80, F3, 4, 129) (dual of [(80, 4), 76, 130]-NRT-code) | [i] | ||
| 7 | Linear OOA(3243, 80, F3, 4, 128) (dual of [(80, 4), 77, 129]-NRT-code) | [i] | ||
| 8 | Linear OOA(3242, 80, F3, 4, 127) (dual of [(80, 4), 78, 128]-NRT-code) | [i] | ||
| 9 | Linear OOA(3241, 79, F3, 4, 126) (dual of [(79, 4), 75, 127]-NRT-code) | [i] | ||
| 10 | Linear OOA(3240, 79, F3, 4, 125) (dual of [(79, 4), 76, 126]-NRT-code) | [i] | ||
| 11 | Linear OOA(3239, 79, F3, 4, 124) (dual of [(79, 4), 77, 125]-NRT-code) | [i] | ||
| 12 | Linear OOA(3238, 79, F3, 4, 123) (dual of [(79, 4), 78, 124]-NRT-code) | [i] | ||