Information on Result #604654

Linear OA(417, 18, F4, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,4)), using dual of repetition code with length 18

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(417, 18, F4, 16) (dual of [18, 1, 17]-code) [i]Strength Reduction
2Linear OA(417, 18, F4, 15) (dual of [18, 1, 16]-code) [i]
3Linear OA(4168, 4114, F4, 34) (dual of [4114, 3946, 35]-code) [i](u, u+v)-Construction
4Linear OA(4193, 16402, F4, 34) (dual of [16402, 16209, 35]-code) [i]
5Linear OA(4218, 65554, F4, 34) (dual of [65554, 65336, 35]-code) [i]
6Linear OA(4243, 262162, F4, 34) (dual of [262162, 261919, 35]-code) [i]
7Linear OA(444, 111, F4, 17) (dual of [111, 67, 18]-code) [i]VarÅ¡amov–Edel Lengthening
8Linear OA(4138, 151, F4, 62) (dual of [151, 13, 63]-code) [i]Construction X with Cyclic Codes
9Linear OA(498, 65555, F4, 15) (dual of [65555, 65457, 16]-code) [i]Construction X4 with Cyclic Codes
10Linear OA(466, 65555, F4, 11) (dual of [65555, 65489, 12]-code) [i]
11Linear OA(498, 65554, F4, 16) (dual of [65554, 65456, 17]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
12Linear OA(490, 65554, F4, 15) (dual of [65554, 65464, 16]-code) [i]
13Linear OA(474, 65554, F4, 12) (dual of [65554, 65480, 13]-code) [i]
14Linear OA(450, 65554, F4, 8) (dual of [65554, 65504, 9]-code) [i]
15Linear OA(442, 65554, F4, 7) (dual of [65554, 65512, 8]-code) [i]
16Linear OA(4240, 257, F4, 152) (dual of [257, 17, 153]-code) [i]Construction X with VarÅ¡amov Bound
17Linear OA(4241, 258, F4, 153) (dual of [258, 17, 154]-code) [i]
18Linear OA(4242, 259, F4, 154) (dual of [259, 17, 155]-code) [i]