Information on Result #706443

Linear OA(499, 287, F4, 31) (dual of [287, 188, 32]-code), using construction XX applied to C1 = C([251,22]), C2 = C([0,26]), C3 = C1 + C2 = C([0,22]), and C∩ = C1 ∩ C2 = C([251,26]) based on
  1. linear OA(479, 255, F4, 27) (dual of [255, 176, 28]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,22}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(479, 255, F4, 27) (dual of [255, 176, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(491, 255, F4, 31) (dual of [255, 164, 32]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,26}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  4. linear OA(467, 255, F4, 23) (dual of [255, 188, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
  5. linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), using
  6. linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)) (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(4100, 288, F4, 31) (dual of [288, 188, 32]-code) [i]Code Embedding in Larger Space
2Linear OOA(499, 143, F4, 2, 31) (dual of [(143, 2), 187, 32]-NRT-code) [i]OOA Folding