Information on Result #1016364

Linear OOA(9108, 177167, F9, 3, 19) (dual of [(177167, 3), 531393, 20]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(911, 20, F9, 3, 9) (dual of [(20, 3), 49, 10]-NRT-code), using
  2. linear OOA(997, 177147, F9, 3, 19) (dual of [(177147, 3), 531344, 20]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(997, 531441, F9, 19) (dual of [531441, 531344, 20]-code), using
      • an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]

Mode: Constructive and 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(9108, 59055, F9, 21, 19) (dual of [(59055, 21), 1240047, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row