Information on Result #911986
Linear OOA(2190, 105, F2, 2, 95) (dual of [(105, 2), 20, 96]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1616, 21, F16, 15) (dual of [21, 5, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(1616, 24, F16, 15) (dual of [24, 8, 16]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1616, 24, F16, 15) (dual of [24, 8, 16]-code), using
- linear OOA(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2190, 105, F2, 2, 94) (dual of [(105, 2), 20, 95]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2190, 105, F2, 2, 93) (dual of [(105, 2), 20, 94]-NRT-code) | [i] | ||
| 3 | Linear OOA(2190, 105, F2, 2, 92) (dual of [(105, 2), 20, 93]-NRT-code) | [i] | ||
| 4 | Linear OOA(2190, 105, F2, 2, 91) (dual of [(105, 2), 20, 92]-NRT-code) | [i] | ||
| 5 | Linear OOA(2190, 105, F2, 2, 90) (dual of [(105, 2), 20, 91]-NRT-code) | [i] | ||
| 6 | Linear OOA(2192, 106, F2, 2, 95) (dual of [(106, 2), 20, 96]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2191, 105, F2, 2, 95) (dual of [(105, 2), 19, 96]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2189, 104, F2, 2, 94) (dual of [(104, 2), 19, 95]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2188, 104, F2, 2, 93) (dual of [(104, 2), 20, 94]-NRT-code) | [i] | ||
| 10 | Linear OOA(2187, 103, F2, 2, 92) (dual of [(103, 2), 19, 93]-NRT-code) | [i] | ||
| 11 | Linear OOA(2186, 103, F2, 2, 91) (dual of [(103, 2), 20, 92]-NRT-code) | [i] | ||
| 12 | Linear OOA(2185, 102, F2, 2, 90) (dual of [(102, 2), 19, 91]-NRT-code) | [i] | ||
| 13 | Linear OOA(2183, 101, F2, 2, 88) (dual of [(101, 2), 19, 89]-NRT-code) | [i] | ||
| 14 | Linear OOA(2182, 101, F2, 2, 87) (dual of [(101, 2), 20, 88]-NRT-code) | [i] | ||
| 15 | Linear OOA(2181, 100, F2, 2, 86) (dual of [(100, 2), 19, 87]-NRT-code) | [i] | ||
| 16 | Linear OOA(2179, 99, F2, 2, 84) (dual of [(99, 2), 19, 85]-NRT-code) | [i] | ||
| 17 | Linear OOA(2190, 52, F2, 4, 95) (dual of [(52, 4), 18, 96]-NRT-code) | [i] | OOA Folding | |