Information on Result #706261

Linear OA(459, 263, F4, 20) (dual of [263, 204, 21]-code), using construction XX applied to C1 = C([254,17]), C2 = C([0,18]), C3 = C1 + C2 = C([0,17]), and C∩ = C1 ∩ C2 = C([254,18]) based on
  1. 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]
  2. linear OA(455, 255, F4, 19) (dual of [255, 200, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(459, 255, F4, 20) (dual of [255, 196, 21]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21 [i]
  4. 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]
  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(462, 273, F4, 20) (dual of [273, 211, 21]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(463, 282, F4, 20) (dual of [282, 219, 21]-code) [i]
3Linear OA(464, 296, F4, 20) (dual of [296, 232, 21]-code) [i]
4Linear OA(465, 315, F4, 20) (dual of [315, 250, 21]-code) [i]
5Linear OOA(459, 131, F4, 2, 20) (dual of [(131, 2), 203, 21]-NRT-code) [i]OOA Folding
6Linear OOA(459, 87, F4, 3, 20) (dual of [(87, 3), 202, 21]-NRT-code) [i]