Information on Result #1301401

Linear OA(561, 390654, F5, 9) (dual of [390654, 390593, 10]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(560, 390652, F5, 9) (dual of [390652, 390592, 10]-code), using
    • construction X applied to Ce(8) ⊂ Ce(5) [i] based on
      1. linear OA(557, 390625, F5, 9) (dual of [390625, 390568, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
      2. linear OA(533, 390625, F5, 6) (dual of [390625, 390592, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
      3. linear OA(53, 27, F5, 2) (dual of [27, 24, 3]-code), using
  2. linear OA(560, 390653, F5, 8) (dual of [390653, 390593, 9]-code), using Gilbert–VarÅ¡amov bound and bm = 560 > Vbs−1(k−1) = 4513 343280 562703 886476 626708 811594 606225 [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(561, 390654, F5, 2, 9) (dual of [(390654, 2), 781247, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(561, 390654, F5, 3, 9) (dual of [(390654, 3), 1171901, 10]-NRT-code) [i]
3Digital (52, 61, 390654)-net over F5 [i]
4Linear OOA(561, 195327, F5, 2, 9) (dual of [(195327, 2), 390593, 10]-NRT-code) [i]OOA Folding