Information on Result #681747

Linear OA(4126, 288, F4, 40) (dual of [288, 162, 41]-code), using construction XX applied to Ce(40) ⊂ Ce(34) ⊂ Ce(30) based on
  1. linear OA(4113, 256, F4, 41) (dual of [256, 143, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(497, 256, F4, 35) (dual of [256, 159, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(491, 256, F4, 31) (dual of [256, 165, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  4. linear OA(47, 26, F4, 4) (dual of [26, 19, 5]-code), using
  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

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

None.