Information on Result #1087999
Linear OOA(2260, 75, F2, 4, 143) (dual of [(75, 4), 40, 144]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3217, 25, F32, 17) (dual of [25, 8, 18]-code or 25-arc in PG(16,32)), using
- discarding factors / shortening the dual code based on linear OA(3217, 32, F32, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
- Reed–Solomon code RS(15,32) [i]
- discarding factors / shortening the dual code based on linear OA(3217, 32, F32, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), 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(2260, 75, F2, 4, 142) (dual of [(75, 4), 40, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2260, 75, F2, 4, 141) (dual of [(75, 4), 40, 142]-NRT-code) | [i] | ||
| 3 | Linear OOA(2260, 75, F2, 4, 140) (dual of [(75, 4), 40, 141]-NRT-code) | [i] | ||
| 4 | Linear OOA(2260, 75, F2, 4, 139) (dual of [(75, 4), 40, 140]-NRT-code) | [i] | ||
| 5 | Linear OOA(2260, 75, F2, 4, 138) (dual of [(75, 4), 40, 139]-NRT-code) | [i] | ||
| 6 | Linear OOA(2260, 75, F2, 4, 137) (dual of [(75, 4), 40, 138]-NRT-code) | [i] | ||
| 7 | Linear OOA(2260, 75, F2, 4, 136) (dual of [(75, 4), 40, 137]-NRT-code) | [i] | ||
| 8 | Linear OOA(2259, 74, F2, 4, 142) (dual of [(74, 4), 37, 143]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2258, 74, F2, 4, 141) (dual of [(74, 4), 38, 142]-NRT-code) | [i] | ||
| 10 | Linear OOA(2257, 74, F2, 4, 140) (dual of [(74, 4), 39, 141]-NRT-code) | [i] | ||
| 11 | Linear OOA(2256, 74, F2, 4, 139) (dual of [(74, 4), 40, 140]-NRT-code) | [i] | ||
| 12 | Linear OOA(2255, 73, F2, 4, 138) (dual of [(73, 4), 37, 139]-NRT-code) | [i] | ||
| 13 | Linear OOA(2254, 73, F2, 4, 137) (dual of [(73, 4), 38, 138]-NRT-code) | [i] | ||
| 14 | Linear OOA(2253, 73, F2, 4, 136) (dual of [(73, 4), 39, 137]-NRT-code) | [i] | ||
| 15 | Linear OOA(2252, 73, F2, 4, 135) (dual of [(73, 4), 40, 136]-NRT-code) | [i] | ||
| 16 | Linear OOA(2251, 72, F2, 4, 134) (dual of [(72, 4), 37, 135]-NRT-code) | [i] | ||
| 17 | Linear OOA(2250, 72, F2, 4, 133) (dual of [(72, 4), 38, 134]-NRT-code) | [i] | ||
| 18 | Linear OOA(2249, 72, F2, 4, 132) (dual of [(72, 4), 39, 133]-NRT-code) | [i] | ||
| 19 | Linear OOA(2247, 71, F2, 4, 130) (dual of [(71, 4), 37, 131]-NRT-code) | [i] | ||
| 20 | Linear OOA(2246, 71, F2, 4, 129) (dual of [(71, 4), 38, 130]-NRT-code) | [i] | ||
| 21 | Linear OOA(2245, 71, F2, 4, 128) (dual of [(71, 4), 39, 129]-NRT-code) | [i] | ||
| 22 | Linear OOA(2260, 37, F2, 8, 143) (dual of [(37, 8), 36, 144]-NRT-code) | [i] | OOA Folding | |