Information on Result #706232

Linear OA(477, 290, F4, 23) (dual of [290, 213, 24]-code), using construction XX applied to C1 = C([250,13]), C2 = C([0,17]), C3 = C1 + C2 = C([0,13]), and C∩ = C1 ∩ C2 = C([250,17]) based on
  1. linear OA(457, 255, F4, 19) (dual of [255, 198, 20]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,13}, and designed minimum distance d ≥ |I|+1 = 20 [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(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 = {−5,−4,…,17}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  4. linear OA(441, 255, F4, 14) (dual of [255, 214, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
  5. linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
  6. linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), 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 OOA(477, 145, F4, 2, 23) (dual of [(145, 2), 213, 24]-NRT-code) [i]OOA Folding