Information on Result #707174

Linear OA(4256, 269, F4, 179) (dual of [269, 13, 180]-code), using construction XX applied to C1 = C([251,170]), C2 = C([0,174]), C3 = C1 + C2 = C([0,170]), and C∩ = C1 ∩ C2 = C([251,174]) based on
  1. linear OA(4245, 255, F4, 175) (dual of [255, 10, 176]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,170}, and designed minimum distance d ≥ |I|+1 = 176 [i]
  2. linear OA(4245, 255, F4, 175) (dual of [255, 10, 176]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,174], and designed minimum distance d ≥ |I|+1 = 176 [i]
  3. linear OA(4249, 255, F4, 179) (dual of [255, 6, 180]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,174}, and designed minimum distance d ≥ |I|+1 = 180 [i]
  4. linear OA(4241, 255, F4, 171) (dual of [255, 14, 172]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,170], and designed minimum distance d ≥ |I|+1 = 172 [i]
  5. linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
  6. linear OA(44, 8, F4, 3) (dual of [8, 4, 4]-code or 8-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 OA(4255, 268, F4, 178) (dual of [268, 13, 179]-code) [i]Truncation
2Linear OOA(4256, 134, F4, 2, 179) (dual of [(134, 2), 12, 180]-NRT-code) [i]OOA Folding