Information on Result #1087991
Linear OOA(2208, 57, F2, 4, 127) (dual of [(57, 4), 20, 128]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3215, 19, F32, 15) (dual of [19, 4, 16]-code or 19-arc in PG(14,32)), using
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
- Reed–Solomon code RS(17,32) [i]
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), 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(2208, 57, F2, 4, 126) (dual of [(57, 4), 20, 127]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2209, 57, F2, 4, 127) (dual of [(57, 4), 19, 128]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2207, 56, F2, 4, 126) (dual of [(56, 4), 17, 127]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2206, 56, F2, 4, 125) (dual of [(56, 4), 18, 126]-NRT-code) | [i] | ||
| 5 | Linear OOA(2205, 56, F2, 4, 124) (dual of [(56, 4), 19, 125]-NRT-code) | [i] | ||
| 6 | Linear OOA(2204, 56, F2, 4, 123) (dual of [(56, 4), 20, 124]-NRT-code) | [i] | ||
| 7 | Linear OOA(2203, 55, F2, 4, 122) (dual of [(55, 4), 17, 123]-NRT-code) | [i] | ||
| 8 | Linear OOA(2201, 55, F2, 4, 120) (dual of [(55, 4), 19, 121]-NRT-code) | [i] | ||
| 9 | Linear OOA(2200, 55, F2, 4, 119) (dual of [(55, 4), 20, 120]-NRT-code) | [i] | ||
| 10 | Linear OOA(2208, 28, F2, 8, 127) (dual of [(28, 8), 16, 128]-NRT-code) | [i] | OOA Folding | |