Information on Result #1084479
Linear OOA(3243, 81, F3, 4, 127) (dual of [(81, 4), 81, 128]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(357, 27, F3, 4, 42) (dual of [(27, 4), 51, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(357, 28, F3, 4, 42) (dual of [(28, 4), 55, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,69P) [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(357, 28, F3, 4, 42) (dual of [(28, 4), 55, 43]-NRT-code), using
- linear OOA(378, 27, F3, 4, 63) (dual of [(27, 4), 30, 64]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(378, 28, F3, 4, 63) (dual of [(28, 4), 34, 64]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,48P) [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(378, 28, F3, 4, 63) (dual of [(28, 4), 34, 64]-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(3243, 81, F3, 4, 126) (dual of [(81, 4), 81, 127]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3243, 81, F3, 4, 125) (dual of [(81, 4), 81, 126]-NRT-code) | [i] | ||
| 3 | Linear OOA(3242, 80, F3, 4, 126) (dual of [(80, 4), 78, 127]-NRT-code) | [i] | Truncation for OOAs | |