Information on Result #1014315

Linear OOA(889, 6640986, F8, 3, 9) (dual of [(6640986, 3), 19922869, 10]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(823, 1048584, F8, 3, 4) (dual of [(1048584, 3), 3145729, 5]-NRT-code), using
    • OA 2-folding and stacking [i] based on linear OA(823, 2097168, F8, 4) (dual of [2097168, 2097145, 5]-code), using
      • construction X4 applied to Ce(3) ⊂ Ce(1) [i] based on
        1. linear OA(822, 2097152, F8, 4) (dual of [2097152, 2097130, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
        2. linear OA(88, 2097152, F8, 2) (dual of [2097152, 2097144, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
        3. linear OA(815, 16, F8, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,8)), using
        4. linear OA(81, 16, F8, 1) (dual of [16, 15, 2]-code), using
  2. linear OOA(866, 5592402, F8, 3, 9) (dual of [(5592402, 3), 16777140, 10]-NRT-code), using
    • trace code [i] based on linear OOA(6433, 2796201, F64, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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.