Information on Result #1303373

Linear OA(9104, 59083, F9, 22) (dual of [59083, 58979, 23]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9103, 59081, F9, 22) (dual of [59081, 58978, 23]-code), using
    • construction X applied to Ce(21) ⊂ Ce(15) [i] based on
      1. linear OA(996, 59049, F9, 22) (dual of [59049, 58953, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
      2. linear OA(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
      3. linear OA(97, 32, F9, 5) (dual of [32, 25, 6]-code), using
  2. linear OA(9103, 59082, F9, 21) (dual of [59082, 58979, 22]-code), using Gilbert–VarÅ¡amov bound and bm = 9103 > Vbs−1(k−1) = 126839 185720 248242 789013 704705 537096 154453 545801 389990 821905 629506 279163 910901 698635 959704 346441 [i]
  3. linear OA(90, 1, F9, 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(9104, 59083, F9, 2, 22) (dual of [(59083, 2), 118062, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9104, 59083, F9, 3, 22) (dual of [(59083, 3), 177145, 23]-NRT-code) [i]
3Digital (82, 104, 59083)-net over F9 [i]