Information on Result #1299695

Linear OA(424, 16395, F4, 5) (dual of [16395, 16371, 6]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(423, 16393, F4, 5) (dual of [16393, 16370, 6]-code), using
    • construction X4 applied to Ce(4) ⊂ Ce(2) [i] based on
      1. linear OA(422, 16384, F4, 5) (dual of [16384, 16362, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
      2. linear OA(415, 16384, F4, 3) (dual of [16384, 16369, 4]-code or 16384-cap in PG(14,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
      3. linear OA(48, 9, F4, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,4)), using
      4. linear OA(41, 9, F4, 1) (dual of [9, 8, 2]-code), using
  2. linear OA(423, 16394, F4, 4) (dual of [16394, 16371, 5]-code), using Gilbert–VarÅ¡amov bound and bm = 423 > Vbs−1(k−1) = 19 821423 675964 [i]
  3. linear OA(40, 1, F4, 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(424, 16395, F4, 2, 5) (dual of [(16395, 2), 32766, 6]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(424, 16395, F4, 3, 5) (dual of [(16395, 3), 49161, 6]-NRT-code) [i]
3Digital (19, 24, 16395)-net over F4 [i]