Information on Result #1324292

Linear OA(5110, 1953181, F5, 14) (dual of [1953181, 1953071, 15]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(5109, 1953179, F5, 14) (dual of [1953179, 1953070, 15]-code), using
    • construction X applied to Ce(13) ⊂ Ce(7) [i] based on
      1. linear OA(5100, 1953125, F5, 14) (dual of [1953125, 1953025, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
      2. linear OA(555, 1953125, F5, 8) (dual of [1953125, 1953070, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
      3. linear OA(59, 54, F5, 5) (dual of [54, 45, 6]-code), using
  2. linear OA(5109, 1953180, F5, 13) (dual of [1953180, 1953071, 14]-code), using Gilbert–VarÅ¡amov bound and bm = 5109 > Vbs−1(k−1) = 107 962635 679869 702038 747868 727707 922764 792114 325209 283453 554075 376518 736285 [i]
  3. linear OA(50, 1, F5, 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(5110, 1953181, F5, 2, 14) (dual of [(1953181, 2), 3906252, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5110, 1953181, F5, 3, 14) (dual of [(1953181, 3), 5859433, 15]-NRT-code) [i]
3Digital (96, 110, 1953181)-net over F5 [i]