Information on Result #1303495

Linear OA(9129, 59083, F9, 28) (dual of [59083, 58954, 29]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9128, 59081, F9, 28) (dual of [59081, 58953, 29]-code), using
    • construction X applied to Ce(27) ⊂ Ce(21) [i] based on
      1. linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
      2. 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]
      3. linear OA(97, 32, F9, 5) (dual of [32, 25, 6]-code), using
  2. linear OA(9128, 59082, F9, 27) (dual of [59082, 58954, 28]-code), using Gilbert–VarÅ¡amov bound and bm = 9128 > Vbs−1(k−1) = 8 511359 759487 072952 950387 528848 414544 205046 889042 469099 155568 727971 778807 390178 300592 152375 725337 432808 771705 837269 933897 [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(9129, 59083, F9, 2, 28) (dual of [(59083, 2), 118037, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9129, 59083, F9, 3, 28) (dual of [(59083, 3), 177120, 29]-NRT-code) [i]
3Digital (101, 129, 59083)-net over F9 [i]