Information on Result #1084445
Linear OOA(3226, 69, F3, 4, 131) (dual of [(69, 4), 50, 132]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(356, 23, F3, 4, 43) (dual of [(23, 4), 36, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(356, 24, F3, 4, 43) (dual of [(24, 4), 40, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,52P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(356, 24, F3, 4, 43) (dual of [(24, 4), 40, 44]-NRT-code), using
- linear OOA(378, 23, F3, 4, 65) (dual of [(23, 4), 14, 66]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(378, 24, F3, 4, 65) (dual of [(24, 4), 18, 66]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,30P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24 (see above)
- discarding factors / shortening the dual code based on linear OOA(378, 24, F3, 4, 65) (dual of [(24, 4), 18, 66]-NRT-code), using
- linear OOA(392, 23, F3, 4, 92) (dual of [(23, 4), 0, 93]-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(3226, 69, F3, 4, 130) (dual of [(69, 4), 50, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |