Information on Result #706327

Linear OA(467, 263, F4, 23) (dual of [263, 196, 24]-code), using construction XX applied to C1 = C([254,20]), C2 = C([0,21]), C3 = C1 + C2 = C([0,20]), and C∩ = C1 ∩ C2 = C([254,21]) based on
  1. linear OA(463, 255, F4, 22) (dual of [255, 192, 23]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−1,0,…,20}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(463, 255, F4, 22) (dual of [255, 192, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(467, 255, F4, 23) (dual of [255, 188, 24]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−1,0,…,21}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  4. linear OA(459, 255, F4, 21) (dual of [255, 196, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
  5. linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
  6. linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code) (see above)

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(470, 273, F4, 23) (dual of [273, 203, 24]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(471, 283, F4, 23) (dual of [283, 212, 24]-code) [i]
3Linear OA(472, 296, F4, 23) (dual of [296, 224, 24]-code) [i]
4Linear OA(473, 312, F4, 23) (dual of [312, 239, 24]-code) [i]
5Linear OOA(467, 131, F4, 2, 23) (dual of [(131, 2), 195, 24]-NRT-code) [i]OOA Folding
6Linear OOA(467, 87, F4, 3, 23) (dual of [(87, 3), 194, 24]-NRT-code) [i]