Information on Result #1087995
Linear OOA(2234, 66, F2, 4, 135) (dual of [(66, 4), 30, 136]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3216, 22, F32, 16) (dual of [22, 6, 17]-code or 22-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(2234, 66, F2, 4, 134) (dual of [(66, 4), 30, 135]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2234, 66, F2, 4, 133) (dual of [(66, 4), 30, 134]-NRT-code) | [i] | ||
| 3 | Linear OOA(2234, 66, F2, 4, 132) (dual of [(66, 4), 30, 133]-NRT-code) | [i] | ||
| 4 | Linear OOA(2234, 66, F2, 4, 131) (dual of [(66, 4), 30, 132]-NRT-code) | [i] | ||
| 5 | Linear OOA(2234, 66, F2, 4, 130) (dual of [(66, 4), 30, 131]-NRT-code) | [i] | ||
| 6 | Linear OOA(2235, 66, F2, 4, 135) (dual of [(66, 4), 29, 136]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2236, 66, F2, 4, 135) (dual of [(66, 4), 28, 136]-NRT-code) | [i] | ||
| 8 | Linear OOA(2237, 66, F2, 4, 135) (dual of [(66, 4), 27, 136]-NRT-code) | [i] | ||
| 9 | Linear OOA(2233, 65, F2, 4, 134) (dual of [(65, 4), 27, 135]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2232, 65, F2, 4, 133) (dual of [(65, 4), 28, 134]-NRT-code) | [i] | ||
| 11 | Linear OOA(2231, 65, F2, 4, 132) (dual of [(65, 4), 29, 133]-NRT-code) | [i] | ||
| 12 | Linear OOA(2230, 65, F2, 4, 131) (dual of [(65, 4), 30, 132]-NRT-code) | [i] | ||
| 13 | Linear OOA(2229, 64, F2, 4, 130) (dual of [(64, 4), 27, 131]-NRT-code) | [i] | ||
| 14 | Linear OOA(2228, 64, F2, 4, 129) (dual of [(64, 4), 28, 130]-NRT-code) | [i] | ||
| 15 | Linear OOA(2227, 64, F2, 4, 128) (dual of [(64, 4), 29, 129]-NRT-code) | [i] | ||
| 16 | Linear OOA(2226, 64, F2, 4, 127) (dual of [(64, 4), 30, 128]-NRT-code) | [i] | ||
| 17 | Linear OOA(2225, 63, F2, 4, 126) (dual of [(63, 4), 27, 127]-NRT-code) | [i] | ||
| 18 | Linear OOA(2223, 63, F2, 4, 124) (dual of [(63, 4), 29, 125]-NRT-code) | [i] | ||
| 19 | Linear OOA(2221, 62, F2, 4, 122) (dual of [(62, 4), 27, 123]-NRT-code) | [i] | ||
| 20 | Linear OOA(2220, 62, F2, 4, 121) (dual of [(62, 4), 28, 122]-NRT-code) | [i] | ||
| 21 | Linear OOA(2219, 62, F2, 4, 120) (dual of [(62, 4), 29, 121]-NRT-code) | [i] | ||
| 22 | Linear OOA(2234, 33, F2, 8, 135) (dual of [(33, 8), 30, 136]-NRT-code) | [i] | OOA Folding | |