Information on Result #664558
Linear OA(16101, 130, F16, 62) (dual of [130, 29, 63]-code), using generalized (u, u+v)-construction based on
- linear OA(164, 10, F16, 4) (dual of [10, 6, 5]-code or 10-arc in PG(3,16)), using
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- linear OA(165, 10, F16, 5) (dual of [10, 5, 6]-code or 10-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [i]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- linear OA(165, 10, F16, 5) (dual of [10, 5, 6]-code or 10-arc in PG(4,16)) (see above)
- 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 OA(166, 10, F16, 6) (dual of [10, 4, 7]-code or 10-arc in PG(5,16)) (see above)
- linear OA(167, 10, F16, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- linear OA(168, 10, F16, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,16)), using
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- Reed–Solomon code RS(8,16) [i]
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- linear OA(1610, 10, F16, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,16)), using
- linear OA(1610, 10, F16, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,16)) (see above)
- linear OA(1610, 10, F16, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,16)) (see above)
- linear OA(1610, 10, F16, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,16)) (see above)
- linear OA(1610, 10, F16, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,16)) (see above)
- linear OA(1610, 10, F16, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,16)) (see above)
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(16101, 65, F16, 2, 62) (dual of [(65, 2), 29, 63]-NRT-code) | [i] | OOA Folding | |