Information on Result #2767615
Linear OOA(2250, 75, F2, 4, 126) (dual of [(75, 4), 50, 127]-NRT-code), using strength reduction based on linear OOA(2250, 75, F2, 4, 127) (dual of [(75, 4), 50, 128]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3215, 25, F32, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,32)), using
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
- Reed–Solomon code RS(17,32) [i]
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
- linear OOA(27, 3, F2, 4, 7) (dual of [(3, 4), 5, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;5,2) [i]
- linear OA(3215, 25, F32, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,32)), 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(2254, 76, F2, 4, 126) (dual of [(76, 4), 50, 127]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2251, 75, F2, 4, 126) (dual of [(75, 4), 49, 127]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2252, 75, F2, 4, 126) (dual of [(75, 4), 48, 127]-NRT-code) | [i] | ||
| 4 | Linear OOA(2253, 75, F2, 4, 126) (dual of [(75, 4), 47, 127]-NRT-code) | [i] | ||
| 5 | Linear OOA(2249, 74, F2, 4, 125) (dual of [(74, 4), 47, 126]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2248, 74, F2, 4, 124) (dual of [(74, 4), 48, 125]-NRT-code) | [i] | ||
| 7 | Linear OOA(2247, 74, F2, 4, 123) (dual of [(74, 4), 49, 124]-NRT-code) | [i] | ||
| 8 | Linear OOA(2246, 74, F2, 4, 122) (dual of [(74, 4), 50, 123]-NRT-code) | [i] | ||
| 9 | Linear OOA(2245, 73, F2, 4, 121) (dual of [(73, 4), 47, 122]-NRT-code) | [i] | ||
| 10 | Linear OOA(2244, 73, F2, 4, 120) (dual of [(73, 4), 48, 121]-NRT-code) | [i] | ||
| 11 | Linear OOA(2243, 73, F2, 4, 119) (dual of [(73, 4), 49, 120]-NRT-code) | [i] | ||
| 12 | Linear OOA(2242, 73, F2, 4, 118) (dual of [(73, 4), 50, 119]-NRT-code) | [i] | ||
| 13 | Linear OOA(2241, 72, F2, 4, 117) (dual of [(72, 4), 47, 118]-NRT-code) | [i] | ||
| 14 | Linear OOA(2240, 72, F2, 4, 116) (dual of [(72, 4), 48, 117]-NRT-code) | [i] | ||
| 15 | Linear OOA(2239, 72, F2, 4, 115) (dual of [(72, 4), 49, 116]-NRT-code) | [i] | ||