Information on Result #658975
Linear OA(1613, 65281, F16, 5) (dual of [65281, 65268, 6]-code), using base reduction for projective spaces (embedding PG(6,256) in PG(12,16)) based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-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 OA(426, 130562, F4, 5) (dual of [130562, 130536, 6]-code) | [i] | Trace Code | |
| 2 | OA(818, 65281, S8, 5) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(1620, 261124, F16, 5) (dual of [261124, 261104, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 4 | Linear OA(1619, 195843, F16, 5) (dual of [195843, 195824, 6]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OOA(1613, 32640, F16, 2, 5) (dual of [(32640, 2), 65267, 6]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(1613, 32640, F16, 5, 5) (dual of [(32640, 5), 163187, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |