Information on Result #1087994
Linear OOA(2241, 69, F2, 4, 135) (dual of [(69, 4), 35, 136]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3216, 23, F32, 16) (dual of [23, 7, 17]-code or 23-arc in PG(15,32)), using
- discarding factors / shortening the dual code based on linear OA(3216, 32, F32, 16) (dual of [32, 16, 17]-code or 32-arc in PG(15,32)), using
- Reed–Solomon code RS(16,32) [i]
- discarding factors / shortening the dual code based on linear OA(3216, 32, F32, 16) (dual of [32, 16, 17]-code or 32-arc in PG(15,32)), 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(2241, 69, F2, 4, 134) (dual of [(69, 4), 35, 135]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2241, 69, F2, 4, 133) (dual of [(69, 4), 35, 134]-NRT-code) | [i] | ||
| 3 | Linear OOA(2241, 69, F2, 4, 132) (dual of [(69, 4), 35, 133]-NRT-code) | [i] | ||
| 4 | Linear OOA(2241, 69, F2, 4, 131) (dual of [(69, 4), 35, 132]-NRT-code) | [i] | ||
| 5 | Linear OOA(2241, 69, F2, 4, 130) (dual of [(69, 4), 35, 131]-NRT-code) | [i] | ||
| 6 | Linear OOA(2241, 69, F2, 4, 129) (dual of [(69, 4), 35, 130]-NRT-code) | [i] | ||
| 7 | Linear OOA(2242, 69, F2, 4, 135) (dual of [(69, 4), 34, 136]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2243, 69, F2, 4, 135) (dual of [(69, 4), 33, 136]-NRT-code) | [i] | ||
| 9 | Linear OOA(2244, 69, F2, 4, 135) (dual of [(69, 4), 32, 136]-NRT-code) | [i] | ||
| 10 | Linear OOA(2240, 68, F2, 4, 134) (dual of [(68, 4), 32, 135]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(2239, 68, F2, 4, 133) (dual of [(68, 4), 33, 134]-NRT-code) | [i] | ||
| 12 | Linear OOA(2238, 68, F2, 4, 132) (dual of [(68, 4), 34, 133]-NRT-code) | [i] | ||
| 13 | Linear OOA(2237, 68, F2, 4, 131) (dual of [(68, 4), 35, 132]-NRT-code) | [i] | ||
| 14 | Linear OOA(2236, 67, F2, 4, 130) (dual of [(67, 4), 32, 131]-NRT-code) | [i] | ||
| 15 | Linear OOA(2235, 67, F2, 4, 129) (dual of [(67, 4), 33, 130]-NRT-code) | [i] | ||
| 16 | Linear OOA(2234, 67, F2, 4, 128) (dual of [(67, 4), 34, 129]-NRT-code) | [i] | ||
| 17 | Linear OOA(2233, 67, F2, 4, 127) (dual of [(67, 4), 35, 128]-NRT-code) | [i] | ||
| 18 | Linear OOA(2232, 66, F2, 4, 126) (dual of [(66, 4), 32, 127]-NRT-code) | [i] | ||
| 19 | Linear OOA(2231, 66, F2, 4, 125) (dual of [(66, 4), 33, 126]-NRT-code) | [i] | ||
| 20 | Linear OOA(2230, 66, F2, 4, 124) (dual of [(66, 4), 34, 125]-NRT-code) | [i] | ||
| 21 | Linear OOA(2228, 65, F2, 4, 122) (dual of [(65, 4), 32, 123]-NRT-code) | [i] | ||
| 22 | Linear OOA(2227, 65, F2, 4, 121) (dual of [(65, 4), 33, 122]-NRT-code) | [i] | ||
| 23 | Linear OOA(2226, 65, F2, 4, 120) (dual of [(65, 4), 34, 121]-NRT-code) | [i] | ||
| 24 | Linear OOA(2241, 34, F2, 8, 135) (dual of [(34, 8), 31, 136]-NRT-code) | [i] | OOA Folding | |