Information on Result #641079

Linear OA(4260, 267, F4, 191) (dual of [267, 7, 192]-code), using juxtaposition based on
  1. linear OA(44, 11, F4, 3) (dual of [11, 7, 4]-code or 11-cap in PG(3,4)), using
  2. linear OA(4249, 256, F4, 187) (dual of [256, 7, 188]-code), using
    • an extension Ce(186) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,186], and designed minimum distance d ≥ |I|+1 = 187 [i]

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(4260, 267, F4, 190) (dual of [267, 7, 191]-code) [i]Strength Reduction
2Linear OA(4260, 267, F4, 189) (dual of [267, 7, 190]-code) [i]
3Linear OA(4260, 267, F4, 188) (dual of [267, 7, 189]-code) [i]
4Linear OA(4258, 265, F4, 189) (dual of [265, 7, 190]-code) [i]Truncation
5Linear OA(4255, 262, F4, 186) (dual of [262, 7, 187]-code) [i]
6Linear OA(4253, 260, F4, 184) (dual of [260, 7, 185]-code) [i]
7Linear OA(4252, 259, F4, 183) (dual of [259, 7, 184]-code) [i]
8Linear OA(4251, 258, F4, 182) (dual of [258, 7, 183]-code) [i]
9Linear OA(4250, 257, F4, 181) (dual of [257, 7, 182]-code) [i]
10Linear OA(4248, 255, F4, 179) (dual of [255, 7, 180]-code) [i]
11Linear OA(4247, 254, F4, 178) (dual of [254, 7, 179]-code) [i]
12Linear OA(4246, 253, F4, 177) (dual of [253, 7, 178]-code) [i]
13Linear OA(4245, 252, F4, 176) (dual of [252, 7, 177]-code) [i]
14Linear OA(4244, 251, F4, 175) (dual of [251, 7, 176]-code) [i]
15Linear OA(4243, 250, F4, 174) (dual of [250, 7, 175]-code) [i]
16Linear OA(4242, 249, F4, 173) (dual of [249, 7, 174]-code) [i]
17Linear OA(4241, 248, F4, 172) (dual of [248, 7, 173]-code) [i]
18Linear OA(4240, 247, F4, 171) (dual of [247, 7, 172]-code) [i]
19Linear OA(4239, 246, F4, 170) (dual of [246, 7, 171]-code) [i]
20Linear OA(4238, 245, F4, 169) (dual of [245, 7, 170]-code) [i]
21Linear OA(4237, 244, F4, 168) (dual of [244, 7, 169]-code) [i]
22Linear OA(4236, 243, F4, 167) (dual of [243, 7, 168]-code) [i]
23Linear OA(4235, 242, F4, 166) (dual of [242, 7, 167]-code) [i]
24Linear OA(4234, 241, F4, 165) (dual of [241, 7, 166]-code) [i]
25Linear OA(4233, 240, F4, 164) (dual of [240, 7, 165]-code) [i]
26Linear OA(4232, 239, F4, 163) (dual of [239, 7, 164]-code) [i]
27Linear OA(4231, 238, F4, 162) (dual of [238, 7, 163]-code) [i]
28Linear OA(4230, 237, F4, 161) (dual of [237, 7, 162]-code) [i]
29Linear OA(4229, 236, F4, 160) (dual of [236, 7, 161]-code) [i]
30Linear OA(4228, 235, F4, 159) (dual of [235, 7, 160]-code) [i]
31Linear OA(4227, 234, F4, 158) (dual of [234, 7, 159]-code) [i]