Information on Result #706967

Linear OA(4141, 287, F4, 47) (dual of [287, 146, 48]-code), using construction XX applied to C1 = C([251,38]), C2 = C([0,42]), C3 = C1 + C2 = C([0,38]), and C∩ = C1 ∩ C2 = C([251,42]) based on
  1. linear OA(4121, 255, F4, 43) (dual of [255, 134, 44]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,38}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  2. linear OA(4121, 255, F4, 43) (dual of [255, 134, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
  3. linear OA(4133, 255, F4, 47) (dual of [255, 122, 48]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,42}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. linear OA(4109, 255, F4, 39) (dual of [255, 146, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [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(4142, 288, F4, 47) (dual of [288, 146, 48]-code) [i]Code Embedding in Larger Space
2Linear OOA(4141, 143, F4, 2, 47) (dual of [(143, 2), 145, 48]-NRT-code) [i]OOA Folding