Information on Result #681536

Linear OA(4190, 271, F4, 90) (dual of [271, 81, 91]-code), using construction X applied to Ce(89) ⊂ Ce(84) based on
  1. linear OA(4184, 256, F4, 90) (dual of [256, 72, 91]-code), using an extension Ce(89) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,89], and designed minimum distance d ≥ |I|+1 = 90 [i]
  2. linear OA(4175, 256, F4, 85) (dual of [256, 81, 86]-code), using an extension Ce(84) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
  3. linear OA(46, 15, F4, 4) (dual of [15, 9, 5]-code), 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(4190, 271, F4, 89) (dual of [271, 81, 90]-code) [i]Strength Reduction
2Linear OA(4190, 271, F4, 88) (dual of [271, 81, 89]-code) [i]
3Linear OA(4190, 271, F4, 87) (dual of [271, 81, 88]-code) [i]
4Linear OA(4190, 271, F4, 86) (dual of [271, 81, 87]-code) [i]
5Linear OA(4190, 271, F4, 85) (dual of [271, 81, 86]-code) [i]
6Linear OA(4190, 271, F4, 84) (dual of [271, 81, 85]-code) [i]
7Linear OA(4190, 271, F4, 83) (dual of [271, 81, 84]-code) [i]
8Linear OA(4187, 268, F4, 87) (dual of [268, 81, 88]-code) [i]Truncation
9Linear OA(4184, 265, F4, 84) (dual of [265, 81, 85]-code) [i]
10Linear OA(4183, 264, F4, 83) (dual of [264, 81, 84]-code) [i]
11Linear OA(4182, 263, F4, 82) (dual of [263, 81, 83]-code) [i]
12Linear OA(4180, 261, F4, 80) (dual of [261, 81, 81]-code) [i]
13Linear OA(4179, 260, F4, 79) (dual of [260, 81, 80]-code) [i]
14Linear OA(4178, 259, F4, 78) (dual of [259, 81, 79]-code) [i]
15Linear OA(4177, 258, F4, 77) (dual of [258, 81, 78]-code) [i]