Information on Result #706510

Linear OA(4103, 287, F4, 33) (dual of [287, 184, 34]-code), using construction XX applied to C1 = C([251,24]), C2 = C([0,28]), C3 = C1 + C2 = C([0,24]), and C∩ = C1 ∩ C2 = C([251,28]) based on
  1. linear OA(483, 255, F4, 29) (dual of [255, 172, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,24}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(483, 255, F4, 29) (dual of [255, 172, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
  3. linear OA(495, 255, F4, 33) (dual of [255, 160, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,28}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  4. linear OA(471, 255, F4, 25) (dual of [255, 184, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [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(4104, 288, F4, 33) (dual of [288, 184, 34]-code) [i]Code Embedding in Larger Space
2Linear OA(4102, 286, F4, 32) (dual of [286, 184, 33]-code) [i]Truncation
3Linear OOA(4103, 143, F4, 2, 33) (dual of [(143, 2), 183, 34]-NRT-code) [i]OOA Folding