Information on Result #703465

Linear OA(3129, 286, F3, 37) (dual of [286, 157, 38]-code), using construction XX applied to C1 = C([88,120]), C2 = C([96,124]), C3 = C1 + C2 = C([96,120]), and C∩ = C1 ∩ C2 = C([88,124]) based on
  1. linear OA(3100, 242, F3, 33) (dual of [242, 142, 34]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {88,89,…,120}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(396, 242, F3, 29) (dual of [242, 146, 30]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {96,97,…,124}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  3. linear OA(3111, 242, F3, 37) (dual of [242, 131, 38]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {88,89,…,124}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  4. linear OA(385, 242, F3, 25) (dual of [242, 157, 26]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {96,97,…,120}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  5. linear OA(313, 28, F3, 7) (dual of [28, 15, 8]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 28 | 36−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
  6. linear OA(35, 16, F3, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,3)), using

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.