Information on Result #1303593

Linear OA(9147, 6573, F9, 41) (dual of [6573, 6426, 42]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9146, 6571, F9, 41) (dual of [6571, 6425, 42]-code), using
    • construction X applied to C([0,20]) ⊂ C([0,19]) [i] based on
      1. linear OA(9145, 6562, F9, 41) (dual of [6562, 6417, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
      2. linear OA(9137, 6562, F9, 39) (dual of [6562, 6425, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
      3. linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
  2. linear OA(9146, 6572, F9, 40) (dual of [6572, 6426, 41]-code), using Gilbert–VarÅ¡amov bound and bm = 9146 > Vbs−1(k−1) = 562089 249800 239708 256309 131586 944291 749002 003630 365171 925745 490570 206443 437643 372413 614857 895785 276913 901090 548730 145843 991190 126970 054937 [i]
  3. linear OA(90, 1, F9, 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(9147, 6573, F9, 2, 41) (dual of [(6573, 2), 12999, 42]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9147, 6573, F9, 3, 41) (dual of [(6573, 3), 19572, 42]-NRT-code) [i]
3Digital (106, 147, 6573)-net over F9 [i]