Information on Result #1015982

Linear OOA(989, 7983894, F9, 3, 9) (dual of [(7983894, 3), 23951593, 10]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(923, 2391492, F9, 3, 4) (dual of [(2391492, 3), 7174453, 5]-NRT-code), using
    • OA 2-folding and stacking [i] based on linear OA(923, 4782984, F9, 4) (dual of [4782984, 4782961, 5]-code), using
      • construction X applied to Ce(3) ⊂ Ce(1) [i] based on
        1. linear OA(922, 4782969, F9, 4) (dual of [4782969, 4782947, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
        2. linear OA(98, 4782969, F9, 2) (dual of [4782969, 4782961, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
        3. linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
  2. linear OOA(966, 5592402, F9, 3, 9) (dual of [(5592402, 3), 16777140, 10]-NRT-code), using
    • trace code [i] based on linear OOA(8133, 2796201, F81, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(8133, large, F81, 9) (dual of [large, large−33, 10]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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.