Information on Result #703697

Linear OA(3210, 242, F3, 120) (dual of [242, 32, 121]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121

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(3210, 242, F3, 119) (dual of [242, 32, 120]-code) [i]Strength Reduction
2Linear OA(3210, 242, F3, 118) (dual of [242, 32, 119]-code) [i]
3Linear OA(3210, 242, F3, 117) (dual of [242, 32, 118]-code) [i]
4Linear OA(3210, 242, F3, 116) (dual of [242, 32, 117]-code) [i]
5Linear OA(3210, 242, F3, 115) (dual of [242, 32, 116]-code) [i]
6Linear OA(3210, 242, F3, 114) (dual of [242, 32, 115]-code) [i]
7Linear OA(3210, 242, F3, 113) (dual of [242, 32, 114]-code) [i]
8Linear OA(3210, 242, F3, 112) (dual of [242, 32, 113]-code) [i]
9Linear OA(3210, 242, F3, 111) (dual of [242, 32, 112]-code) [i]
10Linear OA(3210, 242, F3, 110) (dual of [242, 32, 111]-code) [i]
11Linear OA(3210, 242, F3, 109) (dual of [242, 32, 110]-code) [i]
12Linear OA(3210, 242, F3, 108) (dual of [242, 32, 109]-code) [i]
13Linear OA(3210, 242, F3, 107) (dual of [242, 32, 108]-code) [i]
14Linear OA(3210, 242, F3, 106) (dual of [242, 32, 107]-code) [i]
15Linear OA(3210, 242, F3, 105) (dual of [242, 32, 106]-code) [i]
16Linear OA(3210, 242, F3, 104) (dual of [242, 32, 105]-code) [i]
17Linear OA(3210, 242, F3, 103) (dual of [242, 32, 104]-code) [i]
18Linear OA(3210, 242, F3, 102) (dual of [242, 32, 103]-code) [i]
19Linear OA(3213, 245, F3, 120) (dual of [245, 32, 121]-code) [i]Code Embedding in Larger Space
20Linear OA(3214, 246, F3, 120) (dual of [246, 32, 121]-code) [i]
21Linear OA(3209, 227, F3, 120) (dual of [227, 18, 121]-code) [i]Construction Y1
22Linear OA(3230, 262, F3, 128) (dual of [262, 32, 129]-code) [i]✔Construction XX with Cyclic Codes
23Linear OA(3227, 259, F3, 126) (dual of [259, 32, 127]-code) [i]✔
24Linear OA(3243, 275, F3, 133) (dual of [275, 32, 134]-code) [i]✔
25Linear OA(3246, 275, F3, 134) (dual of [275, 29, 135]-code) [i]✔
26Linear OA(3250, 277, F3, 135) (dual of [277, 27, 136]-code) [i]✔
27Linear OA(3230, 263, F3, 120) (dual of [263, 33, 121]-code) [i]Construction X with VarÅ¡amov Bound
28Linear OA(3237, 271, F3, 120) (dual of [271, 34, 121]-code) [i]
29Linear OA(3241, 276, F3, 120) (dual of [276, 35, 121]-code) [i]
30Linear OA(3242, 278, F3, 120) (dual of [278, 36, 121]-code) [i]
31Linear OA(3237, 273, F3, 117) (dual of [273, 36, 118]-code) [i]
32Linear OA(3247, 284, F3, 120) (dual of [284, 37, 121]-code) [i]
33Linear OA(3248, 286, F3, 120) (dual of [286, 38, 121]-code) [i]
34Linear OA(3246, 284, F3, 119) (dual of [284, 38, 120]-code) [i]
35Linear OA(3250, 289, F3, 120) (dual of [289, 39, 121]-code) [i]
36Linear OA(3245, 284, F3, 117) (dual of [284, 39, 118]-code) [i]
37Linear OA(3247, 286, F3, 119) (dual of [286, 39, 120]-code) [i]
38Linear OOA(3210, 121, F3, 2, 120) (dual of [(121, 2), 32, 121]-NRT-code) [i]OOA Folding
39Linear OOA(3210, 80, F3, 3, 120) (dual of [(80, 3), 30, 121]-NRT-code) [i]
40Linear OOA(3210, 48, F3, 5, 120) (dual of [(48, 5), 30, 121]-NRT-code) [i]