Information on Result #1029648
Linear OOA(2239, 99, F2, 3, 111) (dual of [(99, 3), 58, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(470, 33, F4, 3, 55) (dual of [(33, 3), 29, 56]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,43P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, 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(2239, 99, F2, 3, 110) (dual of [(99, 3), 58, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2239, 99, F2, 3, 109) (dual of [(99, 3), 58, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(2239, 99, F2, 3, 108) (dual of [(99, 3), 58, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(2242, 100, F2, 3, 111) (dual of [(100, 3), 58, 112]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2245, 101, F2, 3, 111) (dual of [(101, 3), 58, 112]-NRT-code) | [i] | ||
| 6 | Linear OOA(2248, 102, F2, 3, 111) (dual of [(102, 3), 58, 112]-NRT-code) | [i] | ||
| 7 | Linear OOA(2251, 103, F2, 3, 111) (dual of [(103, 3), 58, 112]-NRT-code) | [i] | ||
| 8 | Linear OOA(2240, 99, F2, 3, 111) (dual of [(99, 3), 57, 112]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2238, 98, F2, 3, 110) (dual of [(98, 3), 56, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2239, 49, F2, 6, 111) (dual of [(49, 6), 55, 112]-NRT-code) | [i] | OOA Folding | |