Information on Result #1087795
Linear OOA(2156, 42, F2, 4, 107) (dual of [(42, 4), 12, 108]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1611, 14, F16, 11) (dual of [14, 3, 12]-code or 14-arc in PG(10,16)), using
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- Reed–Solomon code RS(5,16) [i]
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- linear OOA(28, 3, F2, 4, 8) (dual of [(3, 4), 4, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;4,2) [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(2156, 42, F2, 4, 106) (dual of [(42, 4), 12, 107]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2156, 42, F2, 4, 105) (dual of [(42, 4), 12, 106]-NRT-code) | [i] | ||
| 3 | Linear OOA(2156, 42, F2, 4, 104) (dual of [(42, 4), 12, 105]-NRT-code) | [i] | ||
| 4 | Linear OOA(2157, 42, F2, 4, 107) (dual of [(42, 4), 11, 108]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2153, 41, F2, 4, 104) (dual of [(41, 4), 11, 105]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2152, 41, F2, 4, 103) (dual of [(41, 4), 12, 104]-NRT-code) | [i] | ||
| 7 | Linear OOA(2146, 39, F2, 4, 97) (dual of [(39, 4), 10, 98]-NRT-code) | [i] | ||
| 8 | Linear OOA(2145, 39, F2, 4, 96) (dual of [(39, 4), 11, 97]-NRT-code) | [i] | ||
| 9 | Linear OOA(2156, 21, F2, 8, 107) (dual of [(21, 8), 12, 108]-NRT-code) | [i] | OOA Folding | |