Information on Result #737788

Linear OA(8155, 262211, F8, 27) (dual of [262211, 262056, 28]-code), using construction X applied to Ce(26) ⊂ Ce(16) based on
  1. linear OA(8139, 262144, F8, 27) (dual of [262144, 262005, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(816, 67, F8, 9) (dual of [67, 51, 10]-code), using
    • construction X applied to Ce(8) ⊂ Ce(6) [i] based on
      1. linear OA(815, 64, F8, 9) (dual of [64, 49, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
      2. linear OA(813, 64, F8, 7) (dual of [64, 51, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
      3. linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-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 OOA(8155, 131105, F8, 2, 27) (dual of [(131105, 2), 262055, 28]-NRT-code) [i]OOA Folding
2Linear OOA(8155, 87403, F8, 3, 27) (dual of [(87403, 3), 262054, 28]-NRT-code) [i]
3Linear OOA(8155, 20170, F8, 27, 27) (dual of [(20170, 27), 544435, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row