Information on Result #1010550

Linear OOA(3127, 3188749, F3, 3, 10) (dual of [(3188749, 3), 9566120, 11]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(313, 103, F3, 3, 5) (dual of [(103, 3), 296, 6]-NRT-code), using
  2. linear OOA(3114, 3188646, F3, 3, 10) (dual of [(3188646, 3), 9565824, 11]-NRT-code), using
    • trace code [i] based on linear OOA(957, 1594323, F9, 3, 10) (dual of [(1594323, 3), 4782912, 11]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using
        • an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(3128, 3188749, F3, 3, 10) (dual of [(3188749, 3), 9566119, 11]-NRT-code) [i]OOA Duplication