Information on Result #918101
Linear OOA(4100, 55, F4, 2, 71) (dual of [(55, 2), 10, 72]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1617, 11, F16, 2, 17) (dual of [(11, 2), 5, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1617, 16, F16, 2, 17) (dual of [(16, 2), 15, 18]-NRT-code), using
- Reed–Solomon NRT-code RS(2;15,16) [i]
- discarding factors / shortening the dual code based on linear OOA(1617, 16, F16, 2, 17) (dual of [(16, 2), 15, 18]-NRT-code), using
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(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(4100, 55, F4, 2, 70) (dual of [(55, 2), 10, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4100, 55, F4, 2, 69) (dual of [(55, 2), 10, 70]-NRT-code) | [i] | ||
| 3 | Linear OOA(497, 53, F4, 2, 68) (dual of [(53, 2), 9, 69]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(496, 53, F4, 2, 67) (dual of [(53, 2), 10, 68]-NRT-code) | [i] | ||
| 5 | Linear OOA(491, 50, F4, 2, 62) (dual of [(50, 2), 9, 63]-NRT-code) | [i] | ||
| 6 | Linear OOA(489, 49, F4, 2, 60) (dual of [(49, 2), 9, 61]-NRT-code) | [i] | ||