Information on Result #914978
Linear OOA(2238, 225, F2, 2, 67) (dual of [(225, 2), 212, 68]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1637, 45, F16, 2, 33) (dual of [(45, 2), 53, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,56P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 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(2238, 225, F2, 2, 66) (dual of [(225, 2), 212, 67]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2240, 226, F2, 2, 67) (dual of [(226, 2), 212, 68]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2242, 227, F2, 2, 67) (dual of [(227, 2), 212, 68]-NRT-code) | [i] | ||
| 4 | Linear OOA(2239, 225, F2, 2, 67) (dual of [(225, 2), 211, 68]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2237, 224, F2, 2, 66) (dual of [(224, 2), 211, 67]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2238, 112, F2, 4, 67) (dual of [(112, 4), 210, 68]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2238, 75, F2, 5, 67) (dual of [(75, 5), 137, 68]-NRT-code) | [i] | ||
| 8 | Linear OOA(2238, 75, F2, 6, 67) (dual of [(75, 6), 212, 68]-NRT-code) | [i] | ||