Information on Result #1029253
Linear OOA(285, 39, F2, 3, 41) (dual of [(39, 3), 32, 42]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(423, 13, F4, 3, 20) (dual of [(13, 3), 16, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(423, 14, F4, 3, 20) (dual of [(14, 3), 19, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,21P) [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(423, 14, F4, 3, 20) (dual of [(14, 3), 19, 21]-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(285, 39, F2, 3, 40) (dual of [(39, 3), 32, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(285, 39, F2, 3, 39) (dual of [(39, 3), 32, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(286, 39, F2, 3, 41) (dual of [(39, 3), 31, 42]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(284, 38, F2, 3, 40) (dual of [(38, 3), 30, 41]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(285, 19, F2, 6, 41) (dual of [(19, 6), 29, 42]-NRT-code) | [i] | OOA Folding | |