Information on Result #1088004
Linear OOA(2251, 69, F2, 4, 151) (dual of [(69, 4), 25, 152]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3218, 23, F32, 18) (dual of [23, 5, 19]-code or 23-arc in PG(17,32)), using
- discarding factors / shortening the dual code based on linear OA(3218, 32, F32, 18) (dual of [32, 14, 19]-code or 32-arc in PG(17,32)), using
- Reed–Solomon code RS(14,32) [i]
- discarding factors / shortening the dual code based on linear OA(3218, 32, F32, 18) (dual of [32, 14, 19]-code or 32-arc in PG(17,32)), 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(2251, 69, F2, 4, 150) (dual of [(69, 4), 25, 151]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2251, 69, F2, 4, 149) (dual of [(69, 4), 25, 150]-NRT-code) | [i] | ||
| 3 | Linear OOA(2251, 69, F2, 4, 148) (dual of [(69, 4), 25, 149]-NRT-code) | [i] | ||
| 4 | Linear OOA(2251, 69, F2, 4, 147) (dual of [(69, 4), 25, 148]-NRT-code) | [i] | ||
| 5 | Linear OOA(2251, 69, F2, 4, 146) (dual of [(69, 4), 25, 147]-NRT-code) | [i] | ||
| 6 | Linear OOA(2251, 69, F2, 4, 145) (dual of [(69, 4), 25, 146]-NRT-code) | [i] | ||
| 7 | Linear OOA(2255, 70, F2, 4, 151) (dual of [(70, 4), 25, 152]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(2253, 69, F2, 4, 151) (dual of [(69, 4), 23, 152]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2250, 68, F2, 4, 150) (dual of [(68, 4), 22, 151]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2249, 68, F2, 4, 149) (dual of [(68, 4), 23, 150]-NRT-code) | [i] | ||
| 11 | Linear OOA(2248, 68, F2, 4, 148) (dual of [(68, 4), 24, 149]-NRT-code) | [i] | ||
| 12 | Linear OOA(2247, 68, F2, 4, 147) (dual of [(68, 4), 25, 148]-NRT-code) | [i] | ||
| 13 | Linear OOA(2246, 67, F2, 4, 146) (dual of [(67, 4), 22, 147]-NRT-code) | [i] | ||
| 14 | Linear OOA(2245, 67, F2, 4, 145) (dual of [(67, 4), 23, 146]-NRT-code) | [i] | ||
| 15 | Linear OOA(2244, 67, F2, 4, 144) (dual of [(67, 4), 24, 145]-NRT-code) | [i] | ||
| 16 | Linear OOA(2243, 67, F2, 4, 143) (dual of [(67, 4), 25, 144]-NRT-code) | [i] | ||
| 17 | Linear OOA(2238, 65, F2, 4, 138) (dual of [(65, 4), 22, 139]-NRT-code) | [i] | ||
| 18 | Linear OOA(2237, 65, F2, 4, 137) (dual of [(65, 4), 23, 138]-NRT-code) | [i] | ||
| 19 | Linear OOA(2236, 65, F2, 4, 136) (dual of [(65, 4), 24, 137]-NRT-code) | [i] | ||
| 20 | Linear OOA(2251, 34, F2, 8, 151) (dual of [(34, 8), 21, 152]-NRT-code) | [i] | OOA Folding | |