Information on Result #664560
Linear OA(1689, 121, F16, 53) (dual of [121, 32, 54]-code), using generalized (u, u+v)-construction based on
- linear OA(164, 11, F16, 4) (dual of [11, 7, 5]-code or 11-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, 11, F16, 5) (dual of [11, 6, 6]-code or 11-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, 11, F16, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,16)) (see above)
- linear OA(166, 11, F16, 6) (dual of [11, 5, 7]-code or 11-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, 11, F16, 7) (dual of [11, 4, 8]-code or 11-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, 11, F16, 8) (dual of [11, 3, 9]-code or 11-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, 11, F16, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,16)), using
- dual of repetition code with length 11 [i]
- linear OA(1611, 11, F16, 11) (dual of [11, 0, 12]-code or 11-arc in PG(10,16)), using
- linear OA(1611, 11, F16, 11) (dual of [11, 0, 12]-code or 11-arc in PG(10,16)) (see above)
- linear OA(1611, 11, F16, 11) (dual of [11, 0, 12]-code or 11-arc in PG(10,16)) (see above)
- linear OA(1611, 11, F16, 11) (dual of [11, 0, 12]-code or 11-arc in PG(10,16)) (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.