Information on Result #917850
Linear OOA(4104, 60, F4, 2, 68) (dual of [(60, 2), 16, 69]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1622, 15, F16, 2, 22) (dual of [(15, 2), 8, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1622, 16, F16, 2, 22) (dual of [(16, 2), 10, 23]-NRT-code), using
- Reed–Solomon NRT-code RS(2;10,16) [i]
- discarding factors / shortening the dual code based on linear OOA(1622, 16, F16, 2, 22) (dual of [(16, 2), 10, 23]-NRT-code), using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(2,4) [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(4104, 60, F4, 2, 67) (dual of [(60, 2), 16, 68]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4104, 60, F4, 2, 66) (dual of [(60, 2), 16, 67]-NRT-code) | [i] | ||
| 3 | Linear OOA(4105, 60, F4, 2, 68) (dual of [(60, 2), 15, 69]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4103, 59, F4, 2, 67) (dual of [(59, 2), 15, 68]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(4102, 59, F4, 2, 66) (dual of [(59, 2), 16, 67]-NRT-code) | [i] | ||
| 6 | Linear OOA(4101, 58, F4, 2, 65) (dual of [(58, 2), 15, 66]-NRT-code) | [i] | ||
| 7 | Linear OOA(4100, 58, F4, 2, 64) (dual of [(58, 2), 16, 65]-NRT-code) | [i] | ||