Information on Result #1028446
Linear OOA(274, 30, F2, 3, 41) (dual of [(30, 3), 16, 42]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(166, 10, F16, 6) (dual of [10, 4, 7]-code or 10-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- Reed–Solomon code RS(10,16) [i]
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;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(274, 30, F2, 3, 40) (dual of [(30, 3), 16, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(274, 30, F2, 3, 39) (dual of [(30, 3), 16, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(274, 30, F2, 3, 38) (dual of [(30, 3), 16, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(275, 30, F2, 3, 41) (dual of [(30, 3), 15, 42]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(273, 29, F2, 3, 40) (dual of [(29, 3), 14, 41]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(274, 15, F2, 6, 41) (dual of [(15, 6), 16, 42]-NRT-code) | [i] | OOA Folding | |