Information on Result #1302614

Linear OA(884, 32802, F8, 18) (dual of [32802, 32718, 19]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(883, 32800, F8, 18) (dual of [32800, 32717, 19]-code), using
    • construction X applied to Ce(17) ⊂ Ce(11) [i] based on
      1. linear OA(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
      2. linear OA(851, 32768, F8, 12) (dual of [32768, 32717, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
      3. linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
  2. linear OA(883, 32801, F8, 17) (dual of [32801, 32718, 18]-code), using Gilbert–VarÅ¡amov bound and bm = 883 > Vbs−1(k−1) = 2 840348 910947 848899 792909 175307 121440 304483 185745 164138 405175 242440 120611 [i]
  3. linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(884, 32802, F8, 2, 18) (dual of [(32802, 2), 65520, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(884, 32802, F8, 3, 18) (dual of [(32802, 3), 98322, 19]-NRT-code) [i]
3Digital (66, 84, 32802)-net over F8 [i]
4Linear OOA(884, 16401, F8, 2, 18) (dual of [(16401, 2), 32718, 19]-NRT-code) [i]OOA Folding