Information on Result #1011841

Linear OOA(4108, 2796282, F4, 3, 11) (dual of [(2796282, 3), 8388738, 12]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(411, 81, F4, 3, 5) (dual of [(81, 3), 232, 6]-NRT-code), using
  2. linear OOA(497, 2796201, F4, 3, 11) (dual of [(2796201, 3), 8388506, 12]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(497, large, F4, 11) (dual of [large, large−97, 12]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [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(4109, 2796282, F4, 3, 11) (dual of [(2796282, 3), 8388737, 12]-NRT-code) [i]OOA Duplication