Information on Result #1029241
Linear OOA(281, 39, F2, 3, 37) (dual of [(39, 3), 36, 38]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(421, 13, F4, 3, 18) (dual of [(13, 3), 18, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(421, 14, F4, 3, 18) (dual of [(14, 3), 21, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,23P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(421, 14, F4, 3, 18) (dual of [(14, 3), 21, 19]-NRT-code), using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(281, 39, F2, 3, 36) (dual of [(39, 3), 36, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(281, 39, F2, 3, 35) (dual of [(39, 3), 36, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(282, 39, F2, 3, 37) (dual of [(39, 3), 35, 38]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(280, 38, F2, 3, 36) (dual of [(38, 3), 34, 37]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(281, 19, F2, 5, 37) (dual of [(19, 5), 14, 38]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(281, 19, F2, 6, 37) (dual of [(19, 6), 33, 38]-NRT-code) | [i] | ||