Information on Result #1303290

Linear OA(983, 4782997, F9, 13) (dual of [4782997, 4782914, 14]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(981, 4782993, F9, 13) (dual of [4782993, 4782912, 14]-code), using
    • construction X applied to Ce(12) ⊂ Ce(9) [i] based on
      1. linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
      2. linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
      3. linear OA(93, 24, F9, 2) (dual of [24, 21, 3]-code), using
  2. linear OA(981, 4782995, F9, 12) (dual of [4782995, 4782914, 13]-code), using Gilbert–VarÅ¡amov bound and bm = 981 > Vbs−1(k−1) = 6449 521079 776401 215371 956098 495556 207324 773567 379523 843934 556889 342143 427281 [i]
  3. linear OA(90, 2, F9, 0) (dual of [2, 2, 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(983, 4782997, F9, 2, 13) (dual of [(4782997, 2), 9565911, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(983, 4782997, F9, 3, 13) (dual of [(4782997, 3), 14348908, 14]-NRT-code) [i]
3Digital (70, 83, 4782997)-net over F9 [i]