Information on Result #703713

Linear OA(3212, 242, F3, 122) (dual of [242, 30, 123]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,121], and designed minimum distance d ≥ |I|+1 = 123

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(3242, 272, F3, 123) (dual of [272, 30, 124]-code) [i]Juxtaposition
2Linear OA(3243, 273, F3, 124) (dual of [273, 30, 125]-code) [i]
3Linear OA(3246, 276, F3, 125) (dual of [276, 30, 126]-code) [i]
4Linear OA(3248, 278, F3, 126) (dual of [278, 30, 127]-code) [i]
5Linear OA(3250, 280, F3, 127) (dual of [280, 30, 128]-code) [i]
6Linear OA(3241, 270, F3, 123) (dual of [270, 29, 124]-code) [i]
7Linear OA(3242, 271, F3, 124) (dual of [271, 29, 125]-code) [i]
8Linear OA(3245, 274, F3, 125) (dual of [274, 29, 126]-code) [i]
9Linear OA(3247, 276, F3, 126) (dual of [276, 29, 127]-code) [i]
10Linear OA(3249, 278, F3, 127) (dual of [278, 29, 128]-code) [i]
11Linear OA(3246, 274, F3, 126) (dual of [274, 28, 127]-code) [i]
12Linear OA(3248, 276, F3, 127) (dual of [276, 28, 128]-code) [i]
13Linear OA(3239, 266, F3, 123) (dual of [266, 27, 124]-code) [i]
14Linear OA(3240, 267, F3, 124) (dual of [267, 27, 125]-code) [i]
15Linear OA(3245, 272, F3, 126) (dual of [272, 27, 127]-code) [i]
16Linear OA(3247, 274, F3, 127) (dual of [274, 27, 128]-code) [i]
17Linear OA(3250, 277, F3, 128) (dual of [277, 27, 129]-code) [i]
18Linear OA(3228, 258, F3, 128) (dual of [258, 30, 129]-code) [i]Construction XX with Cyclic Codes
19Linear OA(3226, 256, F3, 127) (dual of [256, 30, 128]-code) [i]
20Linear OA(3224, 254, F3, 126) (dual of [254, 30, 127]-code) [i]
21Linear OA(3227, 254, F3, 128) (dual of [254, 27, 129]-code) [i]
22Linear OA(3225, 252, F3, 127) (dual of [252, 27, 128]-code) [i]
23Linear OA(3242, 272, F3, 134) (dual of [272, 30, 135]-code) [i]
24Linear OA(3240, 270, F3, 133) (dual of [270, 30, 134]-code) [i]
25Linear OA(3249, 279, F3, 135) (dual of [279, 30, 136]-code) [i]
26Linear OA(3250, 278, F3, 136) (dual of [278, 28, 137]-code) [i]
27Linear OOA(3212, 48, F3, 5, 122) (dual of [(48, 5), 28, 123]-NRT-code) [i]OOA Folding