Information on Result #1303364

Linear OA(9101, 13136, F9, 25) (dual of [13136, 13035, 26]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9100, 13134, F9, 25) (dual of [13134, 13034, 26]-code), using
    • trace code [i] based on linear OA(8150, 6567, F81, 25) (dual of [6567, 6517, 26]-code), using
      • construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
        1. linear OA(8149, 6562, F81, 25) (dual of [6562, 6513, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
        2. linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
        3. linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
  2. linear OA(9100, 13135, F9, 24) (dual of [13135, 13035, 25]-code), using Gilbert–VarÅ¡amov bound and bm = 9100 > Vbs−1(k−1) = 1184 216735 762336 019216 232926 170958 733094 706304 979372 088529 823973 108738 299187 163175 838891 741489 [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(9101, 13136, F9, 2, 25) (dual of [(13136, 2), 26171, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9101, 13136, F9, 3, 25) (dual of [(13136, 3), 39307, 26]-NRT-code) [i]
3Digital (76, 101, 13136)-net over F9 [i]
4Linear OOA(9101, 6568, F9, 2, 25) (dual of [(6568, 2), 13035, 26]-NRT-code) [i]OOA Folding