Information on Result #688768

Linear OA(865, 73, F8, 52) (dual of [73, 8, 53]-code), using construction X applied to Ce(53) ⊂ Ce(45) based on
  1. linear OA(860, 64, F8, 54) (dual of [64, 4, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
  2. linear OA(856, 64, F8, 46) (dual of [64, 8, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
  3. linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(888, 96, F8, 65) (dual of [96, 8, 66]-code) [i]Juxtaposition
2Linear OA(889, 97, F8, 66) (dual of [97, 8, 67]-code) [i]
3Linear OA(8126, 134, F8, 96) (dual of [134, 8, 97]-code) [i]
4Linear OA(8127, 135, F8, 97) (dual of [135, 8, 98]-code) [i]
5Linear OA(8128, 136, F8, 98) (dual of [136, 8, 99]-code) [i]
6Linear OA(8129, 137, F8, 99) (dual of [137, 8, 100]-code) [i]
7Linear OA(8130, 138, F8, 100) (dual of [138, 8, 101]-code) [i]
8Linear OOA(865, 36, F8, 2, 52) (dual of [(36, 2), 7, 53]-NRT-code) [i]OOA Folding