Information on Result #1302337

Linear OA(7104, 16841, F7, 23) (dual of [16841, 16737, 24]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(7103, 16839, F7, 23) (dual of [16839, 16736, 24]-code), using
    • construction X applied to Ce(22) ⊂ Ce(16) [i] based on
      1. linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
      2. linear OA(771, 16807, F7, 17) (dual of [16807, 16736, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
      3. linear OA(77, 32, F7, 5) (dual of [32, 25, 6]-code), using
  2. linear OA(7103, 16840, F7, 22) (dual of [16840, 16737, 23]-code), using Gilbert–VarÅ¡amov bound and bm = 7103 > Vbs−1(k−1) = 23 996431 312305 172653 319647 709054 911929 803346 902005 309521 315644 523170 661060 501274 527479 [i]
  3. linear OA(70, 1, F7, 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(7104, 16841, F7, 2, 23) (dual of [(16841, 2), 33578, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(7104, 16841, F7, 3, 23) (dual of [(16841, 3), 50419, 24]-NRT-code) [i]
3Digital (81, 104, 16841)-net over F7 [i]