Information on Result #1014220

Linear OOA(851, 5637576, F8, 3, 6) (dual of [(5637576, 3), 16912677, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(89, 45174, F8, 3, 3) (dual of [(45174, 3), 135513, 4]-NRT-code), using
  2. linear OOA(842, 5592402, F8, 3, 6) (dual of [(5592402, 3), 16777164, 7]-NRT-code), using
    • trace code [i] based on linear OOA(6421, 2796201, F64, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
        • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [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(851, 5637575, F8, 9, 6) (dual of [(5637575, 9), 50738124, 7]-NRT-code) [i]OOA Stacking with Additional Row