Information on Result #1088002
Linear OOA(2239, 66, F2, 4, 143) (dual of [(66, 4), 25, 144]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3217, 22, F32, 17) (dual of [22, 5, 18]-code or 22-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(2239, 66, F2, 4, 142) (dual of [(66, 4), 25, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2239, 66, F2, 4, 141) (dual of [(66, 4), 25, 142]-NRT-code) | [i] | ||
| 3 | Linear OOA(2239, 66, F2, 4, 140) (dual of [(66, 4), 25, 141]-NRT-code) | [i] | ||
| 4 | Linear OOA(2239, 66, F2, 4, 139) (dual of [(66, 4), 25, 140]-NRT-code) | [i] | ||
| 5 | Linear OOA(2239, 66, F2, 4, 138) (dual of [(66, 4), 25, 139]-NRT-code) | [i] | ||
| 6 | Linear OOA(2241, 66, F2, 4, 143) (dual of [(66, 4), 23, 144]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2238, 65, F2, 4, 142) (dual of [(65, 4), 22, 143]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2237, 65, F2, 4, 141) (dual of [(65, 4), 23, 142]-NRT-code) | [i] | ||
| 9 | Linear OOA(2236, 65, F2, 4, 140) (dual of [(65, 4), 24, 141]-NRT-code) | [i] | ||
| 10 | Linear OOA(2235, 65, F2, 4, 139) (dual of [(65, 4), 25, 140]-NRT-code) | [i] | ||
| 11 | Linear OOA(2234, 64, F2, 4, 138) (dual of [(64, 4), 22, 139]-NRT-code) | [i] | ||
| 12 | Linear OOA(2233, 64, F2, 4, 137) (dual of [(64, 4), 23, 138]-NRT-code) | [i] | ||
| 13 | Linear OOA(2232, 64, F2, 4, 136) (dual of [(64, 4), 24, 137]-NRT-code) | [i] | ||
| 14 | Linear OOA(2231, 64, F2, 4, 135) (dual of [(64, 4), 25, 136]-NRT-code) | [i] | ||
| 15 | Linear OOA(2230, 63, F2, 4, 134) (dual of [(63, 4), 22, 135]-NRT-code) | [i] | ||
| 16 | Linear OOA(2229, 63, F2, 4, 133) (dual of [(63, 4), 23, 134]-NRT-code) | [i] | ||
| 17 | Linear OOA(2226, 62, F2, 4, 130) (dual of [(62, 4), 22, 131]-NRT-code) | [i] | ||
| 18 | Linear OOA(2225, 62, F2, 4, 129) (dual of [(62, 4), 23, 130]-NRT-code) | [i] | ||
| 19 | Linear OOA(2224, 62, F2, 4, 128) (dual of [(62, 4), 24, 129]-NRT-code) | [i] | ||
| 20 | Linear OOA(2239, 33, F2, 8, 143) (dual of [(33, 8), 25, 144]-NRT-code) | [i] | OOA Folding | |