Information on Result #1028931
Linear OOA(2255, 95, F2, 3, 139) (dual of [(95, 3), 30, 140]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3213, 19, F32, 13) (dual of [19, 6, 14]-code or 19-arc in PG(12,32)), using
- discarding factors / shortening the dual code based on linear OA(3213, 32, F32, 13) (dual of [32, 19, 14]-code or 32-arc in PG(12,32)), using
- Reed–Solomon code RS(19,32) [i]
- discarding factors / shortening the dual code based on linear OA(3213, 32, F32, 13) (dual of [32, 19, 14]-code or 32-arc in PG(12,32)), using
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [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(2255, 95, F2, 3, 138) (dual of [(95, 3), 30, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2255, 95, F2, 3, 137) (dual of [(95, 3), 30, 138]-NRT-code) | [i] | ||
| 3 | Linear OOA(2255, 95, F2, 3, 136) (dual of [(95, 3), 30, 137]-NRT-code) | [i] | ||
| 4 | Linear OOA(2255, 95, F2, 3, 135) (dual of [(95, 3), 30, 136]-NRT-code) | [i] | ||
| 5 | Linear OOA(2255, 95, F2, 3, 134) (dual of [(95, 3), 30, 135]-NRT-code) | [i] | ||
| 6 | Linear OOA(2255, 95, F2, 3, 133) (dual of [(95, 3), 30, 134]-NRT-code) | [i] | ||
| 7 | Linear OOA(2255, 95, F2, 3, 132) (dual of [(95, 3), 30, 133]-NRT-code) | [i] | ||
| 8 | Linear OOA(2258, 96, F2, 3, 139) (dual of [(96, 3), 30, 140]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 9 | Linear OOA(2256, 95, F2, 3, 139) (dual of [(95, 3), 29, 140]-NRT-code) | [i] | OOA Duplication | |
| 10 | Linear OOA(2254, 94, F2, 3, 138) (dual of [(94, 3), 28, 139]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(2253, 94, F2, 3, 137) (dual of [(94, 3), 29, 138]-NRT-code) | [i] | ||
| 12 | Linear OOA(2252, 94, F2, 3, 136) (dual of [(94, 3), 30, 137]-NRT-code) | [i] | ||
| 13 | Linear OOA(2250, 93, F2, 3, 134) (dual of [(93, 3), 29, 135]-NRT-code) | [i] | ||
| 14 | Linear OOA(2249, 93, F2, 3, 133) (dual of [(93, 3), 30, 134]-NRT-code) | [i] | ||
| 15 | Linear OOA(2248, 92, F2, 3, 132) (dual of [(92, 3), 28, 133]-NRT-code) | [i] | ||
| 16 | Linear OOA(2255, 47, F2, 6, 139) (dual of [(47, 6), 27, 140]-NRT-code) | [i] | OOA Folding | |