Information on Result #681401

Linear OA(4260, 268, F4, 187) (dual of [268, 8, 188]-code), using construction X applied to Ce(186) ⊂ Ce(174) based on
  1. 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]
  2. linear OA(4245, 256, F4, 175) (dual of [256, 11, 176]-code), using an extension Ce(174) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,174], and designed minimum distance d ≥ |I|+1 = 175 [i]
  3. linear OA(411, 12, F4, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,4)), using

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, 268, F4, 186) (dual of [268, 8, 187]-code) [i]Strength Reduction
2Linear OA(4259, 267, F4, 186) (dual of [267, 8, 187]-code) [i]Truncation
3Linear OA(4258, 266, F4, 185) (dual of [266, 8, 186]-code) [i]
4Linear OA(4257, 265, F4, 184) (dual of [265, 8, 185]-code) [i]
5Linear OA(4256, 264, F4, 183) (dual of [264, 8, 184]-code) [i]
6Linear OA(4255, 263, F4, 182) (dual of [263, 8, 183]-code) [i]
7Linear OA(4254, 262, F4, 181) (dual of [262, 8, 182]-code) [i]
8Linear OA(4253, 261, F4, 180) (dual of [261, 8, 181]-code) [i]
9Linear OOA(4260, 134, F4, 2, 187) (dual of [(134, 2), 8, 188]-NRT-code) [i]OOA Folding