Information on Result #706229

Linear OA(455, 261, F4, 19) (dual of [261, 206, 20]-code), using construction XX applied to C1 = C([254,16]), C2 = C([0,17]), C3 = C1 + C2 = C([0,16]), and C∩ = C1 ∩ C2 = C([254,17]) based on
  1. linear OA(453, 255, F4, 18) (dual of [255, 202, 19]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−1,0,…,16}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(451, 255, F4, 18) (dual of [255, 204, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(455, 255, F4, 19) (dual of [255, 200, 20]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−1,0,…,17}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  4. linear OA(449, 255, F4, 17) (dual of [255, 206, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
  5. linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
  6. linear OA(40, 2, F4, 0) (dual of [2, 2, 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(460, 280, F4, 19) (dual of [280, 220, 20]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(461, 293, F4, 19) (dual of [293, 232, 20]-code) [i]
3Linear OA(462, 311, F4, 19) (dual of [311, 249, 20]-code) [i]
4Linear OA(463, 333, F4, 19) (dual of [333, 270, 20]-code) [i]
5Linear OA(464, 358, F4, 19) (dual of [358, 294, 20]-code) [i]
6Linear OOA(455, 87, F4, 3, 19) (dual of [(87, 3), 206, 20]-NRT-code) [i]OOA Folding