Information on Result #911112
Linear OOA(2236, 120, F2, 2, 159) (dual of [(120, 2), 4, 160]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(438, 40, F4, 31) (dual of [40, 2, 32]-code), using
- repeating each code word 8 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- repeating each code word 8 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- linear OOA(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,2) [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(2236, 120, F2, 2, 158) (dual of [(120, 2), 4, 159]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2236, 120, F2, 2, 157) (dual of [(120, 2), 4, 158]-NRT-code) | [i] | ||
| 3 | Linear OOA(2236, 120, F2, 2, 156) (dual of [(120, 2), 4, 157]-NRT-code) | [i] | ||
| 4 | Linear OOA(2236, 120, F2, 2, 155) (dual of [(120, 2), 4, 156]-NRT-code) | [i] | ||
| 5 | Linear OOA(2236, 120, F2, 2, 154) (dual of [(120, 2), 4, 155]-NRT-code) | [i] | ||
| 6 | Linear OOA(2236, 120, F2, 2, 153) (dual of [(120, 2), 4, 154]-NRT-code) | [i] | ||
| 7 | Linear OOA(2236, 120, F2, 2, 152) (dual of [(120, 2), 4, 153]-NRT-code) | [i] | ||
| 8 | Linear OOA(2236, 120, F2, 2, 151) (dual of [(120, 2), 4, 152]-NRT-code) | [i] | ||
| 9 | Linear OOA(2238, 121, F2, 2, 159) (dual of [(121, 2), 4, 160]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 10 | Linear OOA(2235, 119, F2, 2, 158) (dual of [(119, 2), 3, 159]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(2234, 119, F2, 2, 157) (dual of [(119, 2), 4, 158]-NRT-code) | [i] | ||
| 12 | Linear OOA(2232, 118, F2, 2, 155) (dual of [(118, 2), 4, 156]-NRT-code) | [i] | ||
| 13 | Linear OOA(2228, 116, F2, 2, 151) (dual of [(116, 2), 4, 152]-NRT-code) | [i] | ||
| 14 | Linear OOA(2244, 124, F2, 2, 163) (dual of [(124, 2), 4, 164]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 15 | Linear OOA(2246, 125, F2, 2, 165) (dual of [(125, 2), 4, 166]-NRT-code) | [i] | ||
| 16 | Linear OOA(2248, 126, F2, 2, 166) (dual of [(126, 2), 4, 167]-NRT-code) | [i] | ||
| 17 | Linear OOA(2250, 127, F2, 2, 167) (dual of [(127, 2), 4, 168]-NRT-code) | [i] | ||
| 18 | Linear OOA(2252, 128, F2, 2, 169) (dual of [(128, 2), 4, 170]-NRT-code) | [i] | ||
| 19 | Linear OOA(2236, 60, F2, 4, 159) (dual of [(60, 4), 4, 160]-NRT-code) | [i] | OOA Folding | |