Information on Result #687260

Linear OA(8117, 4112, F8, 33) (dual of [4112, 3995, 34]-code), using construction X applied to Ce(32) ⊂ Ce(28) based on
  1. linear OA(8113, 4096, F8, 33) (dual of [4096, 3983, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(8101, 4096, F8, 29) (dual of [4096, 3995, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), 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(8116, 4111, F8, 32) (dual of [4111, 3995, 33]-code) [i]Truncation
2Linear OOA(8117, 2056, F8, 2, 33) (dual of [(2056, 2), 3995, 34]-NRT-code) [i]OOA Folding
3Linear OOA(8117, 1370, F8, 3, 33) (dual of [(1370, 3), 3993, 34]-NRT-code) [i]