Information on Result #1012001

Linear OOA(4182, 2796286, F4, 3, 18) (dual of [(2796286, 3), 8388676, 19]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(425, 85, F4, 3, 9) (dual of [(85, 3), 230, 10]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(425, 255, F4, 9) (dual of [255, 230, 10]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, 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(4182, 932095, F4, 21, 18) (dual of [(932095, 21), 19573813, 19]-NRT-code) [i]OOA Folding and Stacking with Additional Row