Information on Result #1303288

Linear OA(982, 4782995, F9, 13) (dual of [4782995, 4782913, 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, 4782994, F9, 12) (dual of [4782994, 4782913, 13]-code), using Gilbert–VarÅ¡amov bound and bm = 981 > Vbs−1(k−1) = 6449 506247 073281 903877 424413 243569 457554 605908 861669 691546 529797 412205 690505 [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(982, 4782995, F9, 2, 13) (dual of [(4782995, 2), 9565908, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(982, 4782995, F9, 3, 13) (dual of [(4782995, 3), 14348903, 14]-NRT-code) [i]
3Digital (69, 82, 4782995)-net over F9 [i]