Information on Result #1012005

Linear OOA(4188, 2796542, F4, 3, 18) (dual of [(2796542, 3), 8389438, 19]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(431, 341, F4, 3, 9) (dual of [(341, 3), 992, 10]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(431, 1023, F4, 9) (dual of [1023, 992, 10]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OOA(4157, 2796201, F4, 3, 18) (dual of [(2796201, 3), 8388446, 19]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(4188, 932180, F4, 21, 18) (dual of [(932180, 21), 19575592, 19]-NRT-code) [i]OOA Folding and Stacking with Additional Row