Information on Result #1117303

Linear OOA(3219, 4390529, F3, 5, 12) (dual of [(4390529, 5), 21952426, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(357, 1594328, F3, 5, 6) (dual of [(1594328, 5), 7971583, 7]-NRT-code), using
    • OA 3-folding and stacking [i] based on linear OA(357, 4782984, F3, 6) (dual of [4782984, 4782927, 7]-code), using
      • 1 times truncation [i] based on linear OA(358, 4782985, F3, 7) (dual of [4782985, 4782927, 8]-code), using
        • construction X4 applied to Ce(6) ⊂ Ce(4) [i] based on
          1. linear OA(357, 4782969, F3, 7) (dual of [4782969, 4782912, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
          2. linear OA(343, 4782969, F3, 5) (dual of [4782969, 4782926, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
          3. linear OA(315, 16, F3, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,3)), using
          4. linear OA(31, 16, F3, 1) (dual of [16, 15, 2]-code), using
  2. linear OOA(3162, 2796201, F3, 5, 12) (dual of [(2796201, 5), 13980843, 13]-NRT-code), using
    • OOA 2-folding [i] based on linear OOA(3162, 5592402, F3, 3, 12) (dual of [(5592402, 3), 16777044, 13]-NRT-code), using
      • trace code [i] based on linear OOA(981, 2796201, F9, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
        • OOA 3-folding [i] based on linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using
          • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, 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.