Information on Result #1087993
Linear OOA(2248, 72, F2, 4, 135) (dual of [(72, 4), 40, 136]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3216, 24, F32, 16) (dual of [24, 8, 17]-code or 24-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(2248, 72, F2, 4, 134) (dual of [(72, 4), 40, 135]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2248, 72, F2, 4, 133) (dual of [(72, 4), 40, 134]-NRT-code) | [i] | ||
| 3 | Linear OOA(2248, 72, F2, 4, 132) (dual of [(72, 4), 40, 133]-NRT-code) | [i] | ||
| 4 | Linear OOA(2248, 72, F2, 4, 131) (dual of [(72, 4), 40, 132]-NRT-code) | [i] | ||
| 5 | Linear OOA(2248, 72, F2, 4, 130) (dual of [(72, 4), 40, 131]-NRT-code) | [i] | ||
| 6 | Linear OOA(2248, 72, F2, 4, 129) (dual of [(72, 4), 40, 130]-NRT-code) | [i] | ||
| 7 | Linear OOA(2249, 72, F2, 4, 135) (dual of [(72, 4), 39, 136]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2250, 72, F2, 4, 135) (dual of [(72, 4), 38, 136]-NRT-code) | [i] | ||
| 9 | Linear OOA(2251, 72, F2, 4, 135) (dual of [(72, 4), 37, 136]-NRT-code) | [i] | ||
| 10 | Linear OOA(2247, 71, F2, 4, 134) (dual of [(71, 4), 37, 135]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(2246, 71, F2, 4, 133) (dual of [(71, 4), 38, 134]-NRT-code) | [i] | ||
| 12 | Linear OOA(2245, 71, F2, 4, 132) (dual of [(71, 4), 39, 133]-NRT-code) | [i] | ||
| 13 | Linear OOA(2244, 71, F2, 4, 131) (dual of [(71, 4), 40, 132]-NRT-code) | [i] | ||
| 14 | Linear OOA(2243, 70, F2, 4, 130) (dual of [(70, 4), 37, 131]-NRT-code) | [i] | ||
| 15 | Linear OOA(2242, 70, F2, 4, 129) (dual of [(70, 4), 38, 130]-NRT-code) | [i] | ||
| 16 | Linear OOA(2241, 70, F2, 4, 128) (dual of [(70, 4), 39, 129]-NRT-code) | [i] | ||
| 17 | Linear OOA(2240, 70, F2, 4, 127) (dual of [(70, 4), 40, 128]-NRT-code) | [i] | ||
| 18 | Linear OOA(2239, 69, F2, 4, 126) (dual of [(69, 4), 37, 127]-NRT-code) | [i] | ||
| 19 | Linear OOA(2238, 69, F2, 4, 125) (dual of [(69, 4), 38, 126]-NRT-code) | [i] | ||
| 20 | Linear OOA(2237, 69, F2, 4, 124) (dual of [(69, 4), 39, 125]-NRT-code) | [i] | ||
| 21 | Linear OOA(2235, 68, F2, 4, 122) (dual of [(68, 4), 37, 123]-NRT-code) | [i] | ||
| 22 | Linear OOA(2234, 68, F2, 4, 121) (dual of [(68, 4), 38, 122]-NRT-code) | [i] | ||
| 23 | Linear OOA(2233, 68, F2, 4, 120) (dual of [(68, 4), 39, 121]-NRT-code) | [i] | ||
| 24 | Linear OOA(2248, 36, F2, 7, 135) (dual of [(36, 7), 4, 136]-NRT-code) | [i] | OOA Folding | |
| 25 | Linear OOA(2248, 36, F2, 8, 135) (dual of [(36, 8), 40, 136]-NRT-code) | [i] | ||