Information on Result #1087984
Linear OOA(2257, 78, F2, 4, 127) (dual of [(78, 4), 55, 128]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3215, 26, F32, 15) (dual of [26, 11, 16]-code or 26-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]
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(2257, 78, F2, 4, 126) (dual of [(78, 4), 55, 127]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2257, 78, F2, 4, 125) (dual of [(78, 4), 55, 126]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 78, F2, 4, 124) (dual of [(78, 4), 55, 125]-NRT-code) | [i] | ||
| 4 | Linear OOA(2257, 78, F2, 4, 123) (dual of [(78, 4), 55, 124]-NRT-code) | [i] | ||
| 5 | Linear OOA(2257, 78, F2, 4, 122) (dual of [(78, 4), 55, 123]-NRT-code) | [i] | ||
| 6 | Linear OOA(2257, 78, F2, 4, 121) (dual of [(78, 4), 55, 122]-NRT-code) | [i] | ||
| 7 | Linear OOA(2257, 78, F2, 4, 120) (dual of [(78, 4), 55, 121]-NRT-code) | [i] | ||
| 8 | Linear OOA(2258, 78, F2, 4, 127) (dual of [(78, 4), 54, 128]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2259, 78, F2, 4, 127) (dual of [(78, 4), 53, 128]-NRT-code) | [i] | ||
| 10 | Linear OOA(2260, 78, F2, 4, 127) (dual of [(78, 4), 52, 128]-NRT-code) | [i] | ||
| 11 | Linear OOA(2256, 77, F2, 4, 126) (dual of [(77, 4), 52, 127]-NRT-code) | [i] | Truncation for OOAs | |
| 12 | Linear OOA(2255, 77, F2, 4, 125) (dual of [(77, 4), 53, 126]-NRT-code) | [i] | ||
| 13 | Linear OOA(2254, 77, F2, 4, 124) (dual of [(77, 4), 54, 125]-NRT-code) | [i] | ||
| 14 | Linear OOA(2253, 77, F2, 4, 123) (dual of [(77, 4), 55, 124]-NRT-code) | [i] | ||
| 15 | Linear OOA(2252, 76, F2, 4, 122) (dual of [(76, 4), 52, 123]-NRT-code) | [i] | ||
| 16 | Linear OOA(2251, 76, F2, 4, 121) (dual of [(76, 4), 53, 122]-NRT-code) | [i] | ||
| 17 | Linear OOA(2250, 76, F2, 4, 120) (dual of [(76, 4), 54, 121]-NRT-code) | [i] | ||
| 18 | Linear OOA(2249, 76, F2, 4, 119) (dual of [(76, 4), 55, 120]-NRT-code) | [i] | ||
| 19 | Linear OOA(2248, 75, F2, 4, 118) (dual of [(75, 4), 52, 119]-NRT-code) | [i] | ||
| 20 | Linear OOA(2247, 75, F2, 4, 117) (dual of [(75, 4), 53, 118]-NRT-code) | [i] | ||
| 21 | Linear OOA(2246, 75, F2, 4, 116) (dual of [(75, 4), 54, 117]-NRT-code) | [i] | ||
| 22 | Linear OOA(2244, 74, F2, 4, 114) (dual of [(74, 4), 52, 115]-NRT-code) | [i] | ||
| 23 | Linear OOA(2243, 74, F2, 4, 113) (dual of [(74, 4), 53, 114]-NRT-code) | [i] | ||
| 24 | Linear OOA(2242, 74, F2, 4, 112) (dual of [(74, 4), 54, 113]-NRT-code) | [i] | ||
| 25 | Linear OOA(2257, 39, F2, 7, 127) (dual of [(39, 7), 16, 128]-NRT-code) | [i] | OOA Folding | |
| 26 | Linear OOA(2257, 39, F2, 8, 127) (dual of [(39, 8), 55, 128]-NRT-code) | [i] | ||