Information on Result #677317

Linear OA(3246, 278, F3, 132) (dual of [278, 32, 133]-code), using construction X applied to Ce(133) ⊂ Ce(120) based on
  1. linear OA(3227, 243, F3, 134) (dual of [243, 16, 135]-code), using an extension Ce(133) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,133], and designed minimum distance d ≥ |I|+1 = 134 [i]
  2. linear OA(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using an extension Ce(120) of 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 [i]
  3. linear OA(319, 35, F3, 10) (dual of [35, 16, 11]-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(3246, 278, F3, 131) (dual of [278, 32, 132]-code) [i]Strength Reduction
2Linear OA(3246, 278, F3, 130) (dual of [278, 32, 131]-code) [i]
3Linear OA(3246, 278, F3, 129) (dual of [278, 32, 130]-code) [i]
4Linear OA(3246, 278, F3, 128) (dual of [278, 32, 129]-code) [i]
5Linear OA(3246, 278, F3, 127) (dual of [278, 32, 128]-code) [i]
6Linear OA(3246, 278, F3, 126) (dual of [278, 32, 127]-code) [i]
7Linear OA(3246, 278, F3, 125) (dual of [278, 32, 126]-code) [i]
8Linear OA(3246, 278, F3, 124) (dual of [278, 32, 125]-code) [i]
9Linear OA(3246, 278, F3, 123) (dual of [278, 32, 124]-code) [i]
10Linear OA(3246, 278, F3, 122) (dual of [278, 32, 123]-code) [i]
11Linear OA(3246, 278, F3, 121) (dual of [278, 32, 122]-code) [i]
12Linear OA(3246, 278, F3, 120) (dual of [278, 32, 121]-code) [i]