Information on Result #604670

Linear OA(433, 34, F4, 33) (dual of [34, 1, 34]-code or 34-arc in PG(32,4)), using dual of repetition code with length 34

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(433, 34, F4, 32) (dual of [34, 1, 33]-code) [i]Strength Reduction
2Linear OA(433, 34, F4, 31) (dual of [34, 1, 32]-code) [i]
3Linear OA(433, 34, F4, 30) (dual of [34, 1, 31]-code) [i]
4Linear OA(433, 34, F4, 29) (dual of [34, 1, 30]-code) [i]
5Linear OA(433, 34, F4, 28) (dual of [34, 1, 29]-code) [i]
6Linear OA(464, 85, F4, 33) (dual of [85, 21, 34]-code) [i]VarÅ¡amov–Edel Lengthening
7Linear OA(465, 88, F4, 33) (dual of [88, 23, 34]-code) [i]
8Linear OA(471, 109, F4, 33) (dual of [109, 38, 34]-code) [i]
9Linear OA(472, 113, F4, 33) (dual of [113, 41, 34]-code) [i]
10Linear OA(480, 153, F4, 33) (dual of [153, 73, 34]-code) [i]
11Linear OA(481, 159, F4, 33) (dual of [159, 78, 34]-code) [i]
12Linear OA(489, 218, F4, 33) (dual of [218, 129, 34]-code) [i]
13Linear OA(490, 227, F4, 33) (dual of [227, 137, 34]-code) [i]
14Linear OA(492, 246, F4, 33) (dual of [246, 154, 34]-code) [i]
15Linear OA(493, 256, F4, 33) (dual of [256, 163, 34]-code) [i]
16Linear OA(498, 314, F4, 33) (dual of [314, 216, 34]-code) [i]
17Linear OA(4100, 341, F4, 33) (dual of [341, 241, 34]-code) [i]
18Linear OA(4103, 386, F4, 33) (dual of [386, 283, 34]-code) [i]
19Linear OA(4117, 694, F4, 33) (dual of [694, 577, 34]-code) [i]
20Linear OA(4118, 724, F4, 33) (dual of [724, 606, 34]-code) [i]
21Linear OA(4120, 788, F4, 33) (dual of [788, 668, 34]-code) [i]
22Linear OA(4129, 1156, F4, 33) (dual of [1156, 1027, 34]-code) [i]
23Linear OA(4139, 1774, F4, 33) (dual of [1774, 1635, 34]-code) [i]
24Linear OA(4140, 1852, F4, 33) (dual of [1852, 1712, 34]-code) [i]
25Linear OA(4142, 2018, F4, 33) (dual of [2018, 1876, 34]-code) [i]
26Linear OA(4163, 4988, F4, 33) (dual of [4988, 4825, 34]-code) [i]
27Linear OA(4164, 5208, F4, 33) (dual of [5208, 5044, 34]-code) [i]
28Linear OA(4210, 291, F4, 69) (dual of [291, 81, 70]-code) [i]Construction X with Cyclic Codes
29Linear OA(4178, 65571, F4, 27) (dual of [65571, 65393, 28]-code) [i]Construction X4 with Cyclic Codes