Information on Result #1019241

Linear OOA(12862, 3495254, F128, 3, 12) (dual of [(3495254, 3), 10485700, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(12817, 699053, F128, 3, 6) (dual of [(699053, 3), 2097142, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12817, 2097159, F128, 6) (dual of [2097159, 2097142, 7]-code), using
      • construction X applied to Ce(5) ⊂ Ce(3) [i] based on
        1. linear OA(12816, 2097152, F128, 6) (dual of [2097152, 2097136, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
        2. linear OA(12810, 2097152, F128, 4) (dual of [2097152, 2097142, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
        3. linear OA(1281, 7, F128, 1) (dual of [7, 6, 2]-code), using
  2. linear OOA(12845, 2796201, F128, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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

None.