Information on Result #605492

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

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:

ResultThis
result
only
Method
1Linear OA(1697, 128, F16, 59) (dual of [128, 31, 60]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(16111, 4120, F16, 31) (dual of [4120, 4009, 32]-code) [i]
3Linear OA(16108, 4120, F16, 30) (dual of [4120, 4012, 31]-code) [i]
4Linear OA(16126, 1048600, F16, 23) (dual of [1048600, 1048474, 24]-code) [i]
5Linear OA(1679, 4112, F16, 23) (dual of [4112, 4033, 24]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(16105, 131090, F16, 23) (dual of [131090, 130985, 24]-code) [i]
7Linear OA(16121, 1048592, F16, 23) (dual of [1048592, 1048471, 24]-code) [i]
8Linear OA(1676, 4112, F16, 22) (dual of [4112, 4036, 23]-code) [i]
9Linear OA(16116, 1048592, F16, 22) (dual of [1048592, 1048476, 23]-code) [i]
10Linear OA(1673, 4112, F16, 21) (dual of [4112, 4039, 22]-code) [i]
11Linear OA(16111, 1048592, F16, 21) (dual of [1048592, 1048481, 22]-code) [i]
12Linear OA(1620, 4105, F16, 7) (dual of [4105, 4085, 8]-code) [i]Construction X4 with Cyclic Codes
13Linear OA(1617, 4104, F16, 6) (dual of [4104, 4087, 7]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes