Information on Result #2619081
Linear OOA(2245, 90, F2, 3, 138) (dual of [(90, 3), 25, 139]-NRT-code), using strength reduction based on linear OOA(2245, 90, F2, 3, 139) (dual of [(90, 3), 25, 140]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3213, 18, F32, 13) (dual of [18, 5, 14]-code or 18-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
- linear OA(3213, 18, F32, 13) (dual of [18, 5, 14]-code or 18-arc in PG(12,32)), 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(2248, 91, F2, 3, 138) (dual of [(91, 3), 25, 139]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2246, 90, F2, 3, 138) (dual of [(90, 3), 24, 139]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2247, 90, F2, 3, 138) (dual of [(90, 3), 23, 139]-NRT-code) | [i] | ||
| 4 | Linear OOA(2244, 89, F2, 3, 137) (dual of [(89, 3), 23, 138]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2243, 89, F2, 3, 136) (dual of [(89, 3), 24, 137]-NRT-code) | [i] | ||
| 6 | Linear OOA(2242, 89, F2, 3, 135) (dual of [(89, 3), 25, 136]-NRT-code) | [i] | ||
| 7 | Linear OOA(2241, 88, F2, 3, 134) (dual of [(88, 3), 23, 135]-NRT-code) | [i] | ||
| 8 | Linear OOA(2240, 88, F2, 3, 133) (dual of [(88, 3), 24, 134]-NRT-code) | [i] | ||
| 9 | Linear OOA(2239, 88, F2, 3, 132) (dual of [(88, 3), 25, 133]-NRT-code) | [i] | ||
| 10 | Linear OOA(2238, 87, F2, 3, 131) (dual of [(87, 3), 23, 132]-NRT-code) | [i] | ||
| 11 | Linear OOA(2236, 87, F2, 3, 129) (dual of [(87, 3), 25, 130]-NRT-code) | [i] | ||
| 12 | Linear OOA(2235, 86, F2, 3, 128) (dual of [(86, 3), 23, 129]-NRT-code) | [i] | ||
| 13 | Linear OOA(2234, 86, F2, 3, 127) (dual of [(86, 3), 24, 128]-NRT-code) | [i] | ||
| 14 | Linear OOA(2233, 86, F2, 3, 126) (dual of [(86, 3), 25, 127]-NRT-code) | [i] | ||
| 15 | Linear OOA(2232, 85, F2, 3, 125) (dual of [(85, 3), 23, 126]-NRT-code) | [i] | ||
| 16 | Linear OOA(2229, 84, F2, 3, 122) (dual of [(84, 3), 23, 123]-NRT-code) | [i] | ||
| 17 | Linear OOA(2245, 45, F2, 6, 138) (dual of [(45, 6), 25, 139]-NRT-code) | [i] | OOA Folding | |