Information on Result #607750

Linear OA(44, 85, F4, 2) (dual of [85, 81, 3]-code), using Hamming code H(4,4)

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(432, 111, F4, 11) (dual of [111, 79, 12]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(4247, 4194353, F4, 28) (dual of [4194353, 4194106, 29]-code) [i]Construction X with Cyclic Codes
3Linear OA(4225, 1048621, F4, 28) (dual of [1048621, 1048396, 29]-code) [i]
4Linear OA(4247, 4194330, F4, 30) (dual of [4194330, 4194083, 31]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(4236, 4194330, F4, 29) (dual of [4194330, 4194094, 30]-code) [i]
6Linear OA(4214, 4194330, F4, 26) (dual of [4194330, 4194116, 27]-code) [i]
7Linear OA(4203, 4194330, F4, 25) (dual of [4194330, 4194127, 26]-code) [i]
8Linear OA(4181, 4194330, F4, 22) (dual of [4194330, 4194149, 23]-code) [i]
9Linear OA(4170, 4194330, F4, 21) (dual of [4194330, 4194160, 22]-code) [i]
10Linear OA(4148, 4194330, F4, 18) (dual of [4194330, 4194182, 19]-code) [i]
11Linear OA(4137, 4194330, F4, 17) (dual of [4194330, 4194193, 18]-code) [i]
12Linear OA(4115, 4194330, F4, 14) (dual of [4194330, 4194215, 15]-code) [i]
13Linear OA(4104, 4194330, F4, 13) (dual of [4194330, 4194226, 14]-code) [i]
14Linear OA(482, 4194330, F4, 10) (dual of [4194330, 4194248, 11]-code) [i]
15Linear OA(471, 4194330, F4, 9) (dual of [4194330, 4194259, 10]-code) [i]
16Linear OA(4255, 1048600, F4, 34) (dual of [1048600, 1048345, 35]-code) [i]
17Linear OA(4245, 1048600, F4, 33) (dual of [1048600, 1048355, 34]-code) [i]
18Linear OA(4225, 1048600, F4, 30) (dual of [1048600, 1048375, 31]-code) [i]
19Linear OA(4215, 1048600, F4, 29) (dual of [1048600, 1048385, 30]-code) [i]
20Linear OA(4195, 1048600, F4, 26) (dual of [1048600, 1048405, 27]-code) [i]
21Linear OA(4185, 1048600, F4, 25) (dual of [1048600, 1048415, 26]-code) [i]
22Linear OA(4165, 1048600, F4, 22) (dual of [1048600, 1048435, 23]-code) [i]
23Linear OA(4155, 1048600, F4, 21) (dual of [1048600, 1048445, 22]-code) [i]
24Linear OA(4135, 1048600, F4, 18) (dual of [1048600, 1048465, 19]-code) [i]
25Linear OA(4125, 1048600, F4, 17) (dual of [1048600, 1048475, 18]-code) [i]
26Linear OA(4105, 1048600, F4, 14) (dual of [1048600, 1048495, 15]-code) [i]
27Linear OA(495, 1048600, F4, 13) (dual of [1048600, 1048505, 14]-code) [i]
28Linear OA(475, 1048600, F4, 10) (dual of [1048600, 1048525, 11]-code) [i]
29Linear OA(465, 1048600, F4, 9) (dual of [1048600, 1048535, 10]-code) [i]
30Linear OOA(44, 85, F4, 2, 2) (dual of [(85, 2), 166, 3]-NRT-code) [i]Appending kth Column