Information on Result #662591

Linear OA(472, 16401, F4, 13) (dual of [16401, 16329, 14]-code), using (u, u+v)-construction based on
  1. linear OA(48, 17, F4, 6) (dual of [17, 9, 7]-code), using
    • the BCH-code C(I) with length 17 | 44−1, defining interval I = {1,4,7,…,16}, and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using
    • an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(472, 12579, F4, 2, 13) (dual of [(12579, 2), 25086, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(472, 12579, F4, 3, 13) (dual of [(12579, 3), 37665, 14]-NRT-code) [i]
3Digital (59, 72, 12579)-net over F4 [i]