Information on Result #1302436

Linear OA(851, 77, F8, 31) (dual of [77, 26, 32]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(849, 74, F8, 31) (dual of [74, 25, 32]-code), using
    • construction X applied to Ce(30) ⊂ Ce(26) [i] based on
      1. linear OA(846, 64, F8, 31) (dual of [64, 18, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
      2. linear OA(839, 64, F8, 27) (dual of [64, 25, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
      3. linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), using
  2. linear OA(849, 75, F8, 29) (dual of [75, 26, 30]-code), using Gilbert–VarÅ¡amov bound and bm = 849 > Vbs−1(k−1) = 99 084986 198454 104667 381316 480928 721656 850736 [i]
  3. linear OA(81, 2, F8, 1) (dual of [2, 1, 2]-code), using

Mode: 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

None.