Information on Result #913635
Linear OOA(5138, 72, F5, 2, 111) (dual of [(72, 2), 6, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2515, 18, F25, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,25)), using
- discarding factors / shortening the dual code based on linear OA(2515, 25, F25, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,25)), using
- Reed–Solomon code RS(10,25) [i]
- discarding factors / shortening the dual code based on linear OA(2515, 25, F25, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,25)), using
- linear OOA(56, 4, F5, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(56, 5, F5, 2, 6) (dual of [(5, 2), 4, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;4,5) [i]
- discarding factors / shortening the dual code based on linear OOA(56, 5, F5, 2, 6) (dual of [(5, 2), 4, 7]-NRT-code), using
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(5138, 72, F5, 2, 110) (dual of [(72, 2), 6, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5137, 71, F5, 2, 110) (dual of [(71, 2), 5, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(5136, 71, F5, 2, 109) (dual of [(71, 2), 6, 110]-NRT-code) | [i] | ||
| 4 | Linear OOA(5134, 70, F5, 2, 107) (dual of [(70, 2), 6, 108]-NRT-code) | [i] | ||
| 5 | Linear OOA(5132, 69, F5, 2, 105) (dual of [(69, 2), 6, 106]-NRT-code) | [i] | ||
| 6 | Linear OOA(5128, 67, F5, 2, 101) (dual of [(67, 2), 6, 102]-NRT-code) | [i] | ||