Information on Result #664552
Linear OA(1697, 128, F16, 59) (dual of [128, 31, 60]-code), using generalized (u, u+v)-construction based on
- linear OA(163, 8, F16, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,16) or 8-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- linear OA(163, 8, F16, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,16) or 8-cap in PG(2,16)) (see above)
- linear OA(164, 8, F16, 4) (dual of [8, 4, 5]-code or 8-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(164, 8, F16, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,16)) (see above)
- linear OA(164, 8, F16, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,16)) (see above)
- linear OA(165, 8, F16, 5) (dual of [8, 3, 6]-code or 8-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, 8, F16, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,16)) (see above)
- linear OA(166, 8, F16, 6) (dual of [8, 2, 7]-code or 8-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(167, 8, F16, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,16)), using
- dual of repetition code with length 8 [i]
- linear OA(168, 8, F16, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,16)), using
- linear OA(168, 8, F16, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,16)) (see above)
- linear OA(168, 8, F16, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,16)) (see above)
- linear OA(168, 8, F16, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,16)) (see above)
- linear OA(168, 8, F16, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,16)) (see above)
- linear OA(168, 8, F16, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,16)) (see above)
- linear OA(168, 8, F16, 8) (dual of [8, 0, 9]-code or 8-arc in PG(7,16)) (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
None.