Information on Result #1084427
Linear OOA(3229, 69, F3, 4, 134) (dual of [(69, 4), 47, 135]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(357, 23, F3, 4, 44) (dual of [(23, 4), 35, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(357, 24, F3, 4, 44) (dual of [(24, 4), 39, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,51P) [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(357, 24, F3, 4, 44) (dual of [(24, 4), 39, 45]-NRT-code), using
- linear OOA(380, 23, F3, 4, 67) (dual of [(23, 4), 12, 68]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(380, 24, F3, 4, 67) (dual of [(24, 4), 16, 68]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,28P) [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(380, 24, F3, 4, 67) (dual of [(24, 4), 16, 68]-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(3229, 69, F3, 4, 133) (dual of [(69, 4), 47, 134]-NRT-code) | [i] | Strength Reduction for OOAs | |