Information on Result #1014700

Linear OOA(8172, 5679783, F8, 3, 17) (dual of [(5679783, 3), 17039177, 18]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(842, 87381, F8, 3, 8) (dual of [(87381, 3), 262101, 9]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(842, 262143, F8, 8) (dual of [262143, 262101, 9]-code), using
      • 1 times truncation [i] based on linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using
        • an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OOA(8130, 5592402, F8, 3, 17) (dual of [(5592402, 3), 16777076, 18]-NRT-code), using
    • trace code [i] based on linear OOA(6465, 2796201, F64, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [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.