Information on Result #1303489

Linear OA(9129, 4783015, F9, 20) (dual of [4783015, 4782886, 21]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9127, 4783011, F9, 20) (dual of [4783011, 4782884, 21]-code), using
    • construction X applied to Ce(19) ⊂ Ce(13) [i] based on
      1. linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
      2. linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
      3. linear OA(97, 42, F9, 5) (dual of [42, 35, 6]-code), using
  2. linear OA(9127, 4783013, F9, 19) (dual of [4783013, 4782886, 20]-code), using Gilbert–VarÅ¡amov bound and bm = 9127 > Vbs−1(k−1) = 4 829381 631641 654183 073186 066433 182059 573443 356610 117995 671040 356775 018418 856284 234265 435336 919443 534316 114951 769681 093281 [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(9129, 4783015, F9, 2, 20) (dual of [(4783015, 2), 9565901, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9129, 4783015, F9, 3, 20) (dual of [(4783015, 3), 14348916, 21]-NRT-code) [i]
3Digital (109, 129, 4783015)-net over F9 [i]
4Linear OOA(9129, 2391507, F9, 2, 20) (dual of [(2391507, 2), 4782885, 21]-NRT-code) [i]OOA Folding