Information on Result #1302658

Linear OA(896, 32795, F8, 21) (dual of [32795, 32699, 22]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(895, 32793, F8, 21) (dual of [32793, 32698, 22]-code), using
    • construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
      1. linear OA(891, 32769, F8, 21) (dual of [32769, 32678, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
      2. linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
      3. linear OA(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,8)), using
  2. linear OA(895, 32794, F8, 20) (dual of [32794, 32699, 21]-code), using Gilbert–VarÅ¡amov bound and bm = 895 > Vbs−1(k−1) = 5 880048 005523 069304 407570 569996 908252 019980 976542 425251 508371 660321 733028 793581 803584 [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(896, 32795, F8, 2, 21) (dual of [(32795, 2), 65494, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(896, 32795, F8, 3, 21) (dual of [(32795, 3), 98289, 22]-NRT-code) [i]
3Digital (75, 96, 32795)-net over F8 [i]