Information on Result #1019384

Linear OOA(12878, 2801665, F128, 3, 16) (dual of [(2801665, 3), 8404917, 17]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(12817, 5464, F128, 3, 8) (dual of [(5464, 3), 16375, 9]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12817, 16392, F128, 8) (dual of [16392, 16375, 9]-code), using
      • construction X applied to Ce(7) ⊂ Ce(4) [i] based on
        1. linear OA(12815, 16384, F128, 8) (dual of [16384, 16369, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
        2. linear OA(1289, 16384, F128, 5) (dual of [16384, 16375, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
        3. linear OA(1282, 8, F128, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,128)), using
  2. linear OOA(12861, 2796201, F128, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12861, large, F128, 16) (dual of [large, large−61, 17]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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.