Information on Result #1028626
Linear OOA(2256, 96, F2, 3, 137) (dual of [(96, 3), 32, 138]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1624, 32, F16, 22) (dual of [32, 8, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(1624, 33, F16, 22) (dual of [33, 9, 23]-code), using
- extended algebraic-geometric code AGe(F,10P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1624, 33, F16, 22) (dual of [33, 9, 23]-code), using
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [i]
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(2256, 96, F2, 3, 136) (dual of [(96, 3), 32, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2256, 96, F2, 3, 135) (dual of [(96, 3), 32, 136]-NRT-code) | [i] | ||
| 3 | Linear OOA(2256, 96, F2, 3, 134) (dual of [(96, 3), 32, 135]-NRT-code) | [i] | ||
| 4 | Linear OOA(2256, 96, F2, 3, 133) (dual of [(96, 3), 32, 134]-NRT-code) | [i] | ||
| 5 | Linear OOA(2256, 96, F2, 3, 132) (dual of [(96, 3), 32, 133]-NRT-code) | [i] | ||
| 6 | Linear OOA(2259, 97, F2, 3, 137) (dual of [(97, 3), 32, 138]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2257, 96, F2, 3, 137) (dual of [(96, 3), 31, 138]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2258, 96, F2, 3, 137) (dual of [(96, 3), 30, 138]-NRT-code) | [i] | ||
| 9 | Linear OOA(2254, 95, F2, 3, 135) (dual of [(95, 3), 31, 136]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2253, 95, F2, 3, 134) (dual of [(95, 3), 32, 135]-NRT-code) | [i] | ||
| 11 | Linear OOA(2252, 94, F2, 3, 133) (dual of [(94, 3), 30, 134]-NRT-code) | [i] | ||
| 12 | Linear OOA(2251, 94, F2, 3, 132) (dual of [(94, 3), 31, 133]-NRT-code) | [i] | ||
| 13 | Linear OOA(2250, 94, F2, 3, 131) (dual of [(94, 3), 32, 132]-NRT-code) | [i] | ||
| 14 | Linear OOA(2249, 93, F2, 3, 130) (dual of [(93, 3), 30, 131]-NRT-code) | [i] | ||
| 15 | Linear OOA(2248, 93, F2, 3, 129) (dual of [(93, 3), 31, 130]-NRT-code) | [i] | ||
| 16 | Linear OOA(2246, 92, F2, 3, 127) (dual of [(92, 3), 30, 128]-NRT-code) | [i] | ||
| 17 | Linear OOA(2245, 92, F2, 3, 126) (dual of [(92, 3), 31, 127]-NRT-code) | [i] | ||
| 18 | Linear OOA(2256, 48, F2, 6, 137) (dual of [(48, 6), 32, 138]-NRT-code) | [i] | OOA Folding | |