Information on Result #703540

Linear OA(3135, 278, F3, 41) (dual of [278, 143, 42]-code), using construction XX applied to C1 = C([82,121]), C2 = C([90,122]), C3 = C1 + C2 = C([90,121]), and C∩ = C1 ∩ C2 = C([82,122]) based on
  1. linear OA(3116, 242, F3, 40) (dual of [242, 126, 41]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {82,83,…,121}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(3101, 242, F3, 33) (dual of [242, 141, 34]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {90,91,…,122}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(3121, 242, F3, 41) (dual of [242, 121, 42]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {82,83,…,122}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  4. linear OA(396, 242, F3, 32) (dual of [242, 146, 33]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {90,91,…,121}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  5. linear OA(314, 31, F3, 7) (dual of [31, 17, 8]-code), using
    • construction X applied to Ce(6) ⊂ Ce(4) [i] based on
      1. linear OA(313, 27, F3, 7) (dual of [27, 14, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
      2. linear OA(310, 27, F3, 5) (dual of [27, 17, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
      3. linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
  6. linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-code), 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.