Information on Result #1303448

Linear OA(9119, 1062898, F9, 20) (dual of [1062898, 1062779, 21]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9118, 1062896, F9, 20) (dual of [1062896, 1062778, 21]-code), using
    • trace code [i] based on linear OA(8159, 531448, F81, 20) (dual of [531448, 531389, 21]-code), using
      • construction X applied to Ce(19) ⊂ Ce(17) [i] based on
        1. linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
        2. linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
        3. linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
  2. linear OA(9118, 1062897, F9, 19) (dual of [1062897, 1062779, 20]-code), using Gilbert–VarÅ¡amov bound and bm = 9118 > Vbs−1(k−1) = 8 434339 098611 024449 351197 706413 105983 663740 592810 667167 862048 029472 930805 218637 571389 087672 686620 719600 025985 [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(9119, 1062898, F9, 2, 20) (dual of [(1062898, 2), 2125677, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9119, 1062898, F9, 3, 20) (dual of [(1062898, 3), 3188575, 21]-NRT-code) [i]
3Digital (99, 119, 1062898)-net over F9 [i]
4Linear OOA(9119, 531449, F9, 2, 20) (dual of [(531449, 2), 1062779, 21]-NRT-code) [i]OOA Folding