Information on Result #703544

Linear OA(3115, 261, F3, 37) (dual of [261, 146, 38]-code), using construction XX applied to C1 = C([239,31]), C2 = C([0,33]), C3 = C1 + C2 = C([0,31]), and C∩ = C1 ∩ C2 = C([239,33]) based on
  1. linear OA(3106, 242, F3, 35) (dual of [242, 136, 36]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,31}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  2. linear OA(3101, 242, F3, 34) (dual of [242, 141, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [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 = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  4. linear OA(396, 242, F3, 32) (dual of [242, 146, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [i]
  5. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
  6. linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3116, 262, F3, 37) (dual of [262, 146, 38]-code) [i]Code Embedding in Larger Space
2Linear OA(3116, 266, F3, 37) (dual of [266, 150, 38]-code) [i]VarÅ¡amov–Edel Lengthening
3Linear OOA(3115, 130, F3, 2, 37) (dual of [(130, 2), 145, 38]-NRT-code) [i]OOA Folding
4Linear OOA(3115, 87, F3, 3, 37) (dual of [(87, 3), 146, 38]-NRT-code) [i]