Information on Result #731936

Linear OA(947, 59132, F9, 9) (dual of [59132, 59085, 10]-code), using (u, u+v)-construction based on
  1. linear OA(97, 84, F9, 4) (dual of [84, 77, 5]-code), using
    • construction XX applied to C1 = C([79,1]), C2 = C([0,2]), C3 = C1 + C2 = C([0,1]), and C∩ = C1 ∩ C2 = C([79,2]) [i] based on
      1. linear OA(95, 80, F9, 3) (dual of [80, 75, 4]-code or 80-cap in PG(4,9)), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,1}, and designed minimum distance d ≥ |I|+1 = 4 [i]
      2. linear OA(95, 80, F9, 3) (dual of [80, 75, 4]-code or 80-cap in PG(4,9)), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 4 [i]
      3. linear OA(97, 80, F9, 4) (dual of [80, 73, 5]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,1,2}, and designed minimum distance d ≥ |I|+1 = 5 [i]
      4. linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
      5. linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
      6. linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code) (see above)
  2. linear OA(940, 59048, F9, 9) (dual of [59048, 59008, 10]-code), using
    • 1 times truncation [i] based on linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using
      • an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.