Information on Result #610813

Linear OA(37, 14, F3, 5) (dual of [14, 7, 6]-code), using extended quadratic residue code Qe(14,3)

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(334, 95, F3, 11) (dual of [95, 61, 12]-code) [i](u, u+v)-Construction
2Linear OA(388, 95, F3, 56) (dual of [95, 7, 57]-code) [i]Juxtaposition
3Linear OA(3169, 176, F3, 107) (dual of [176, 7, 108]-code) [i]
4Linear OA(3175, 182, F3, 113) (dual of [182, 7, 114]-code) [i]
5Linear OA(3132, 139, F3, 83) (dual of [139, 7, 84]-code) [i]
6Linear OA(311, 40, F3, 5) (dual of [40, 29, 6]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(312, 42, F3, 5) (dual of [42, 30, 6]-code) [i]
8Linear OA(3224, 744, F3, 57) (dual of [744, 520, 58]-code) [i]Construction X with Cyclic Codes
9Linear OA(3116, 379, F3, 31) (dual of [379, 263, 32]-code) [i]
10Linear OA(381, 94, F3, 47) (dual of [94, 13, 48]-code) [i]
11Linear OA(368, 135, F3, 22) (dual of [135, 67, 23]-code) [i]
12Linear OA(381, 95, F3, 47) (dual of [95, 14, 48]-code) [i]Construction XX with Cyclic Codes
13Linear OA(3189, 208, F3, 102) (dual of [208, 19, 103]-code) [i]
14Linear OA(3189, 208, F3, 103) (dual of [208, 19, 104]-code) [i]
15Linear OA(3104, 263, F3, 32) (dual of [263, 159, 33]-code) [i]
16Linear OA(3113, 272, F3, 34) (dual of [272, 159, 35]-code) [i]
17Linear OA(3111, 269, F3, 34) (dual of [269, 158, 35]-code) [i]
18Linear OA(3109, 267, F3, 33) (dual of [267, 158, 34]-code) [i]
19Linear OA(3109, 262, F3, 34) (dual of [262, 153, 35]-code) [i]
20Linear OA(3116, 269, F3, 35) (dual of [269, 153, 36]-code) [i]
21Linear OA(3120, 279, F3, 35) (dual of [279, 159, 36]-code) [i]
22Linear OA(3118, 276, F3, 35) (dual of [276, 158, 36]-code) [i]
23Linear OA(3126, 284, F3, 37) (dual of [284, 158, 38]-code) [i]
24Linear OA(3245, 267, F3, 137) (dual of [267, 22, 138]-code) [i]
25Linear OA(3229, 257, F3, 128) (dual of [257, 28, 129]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
26Linear OA(3103, 257, F3, 32) (dual of [257, 154, 33]-code) [i]
27Linear OA(398, 257, F3, 31) (dual of [257, 159, 32]-code) [i]
28Linear OA(3177, 197, F3, 97) (dual of [197, 20, 98]-code) [i]
29Linear OA(3166, 381, F3, 46) (dual of [381, 215, 47]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
30Linear OA(3243, 261, F3, 140) (dual of [261, 18, 141]-code) [i]
31Linear OA(3233, 261, F3, 131) (dual of [261, 28, 132]-code) [i]
32Linear OA(3178, 198, F3, 98) (dual of [198, 20, 99]-code) [i]
33Linear OA(3131, 144, F3, 73) (dual of [144, 13, 74]-code) [i]
34Linear OOA(37, 7, F3, 2, 5) (dual of [(7, 2), 7, 6]-NRT-code) [i]OOA Folding