Information on Result #1303190

Linear OA(966, 59075, F9, 14) (dual of [59075, 59009, 15]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(965, 59073, F9, 14) (dual of [59073, 59008, 15]-code), using
    • construction X applied to Ce(13) ⊂ Ce(9) [i] based on
      1. linear OA(961, 59049, F9, 14) (dual of [59049, 58988, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
      2. linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
      3. linear OA(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,9)), using
  2. linear OA(965, 59074, F9, 13) (dual of [59074, 59009, 14]-code), using Gilbert–VarÅ¡amov bound and bm = 965 > Vbs−1(k−1) = 258783 737228 190251 608001 279041 810027 697777 298202 466447 576585 [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(966, 59075, F9, 2, 14) (dual of [(59075, 2), 118084, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(966, 59075, F9, 3, 14) (dual of [(59075, 3), 177159, 15]-NRT-code) [i]
3Digital (52, 66, 59075)-net over F9 [i]