Information on Result #706474

Linear OA(4105, 286, F4, 33) (dual of [286, 181, 34]-code), using construction XX applied to C1 = C([73,101]), C2 = C([69,95]), C3 = C1 + C2 = C([73,95]), and C∩ = C1 ∩ C2 = C([69,101]) based on
  1. linear OA(485, 255, F4, 29) (dual of [255, 170, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,101}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(481, 255, F4, 27) (dual of [255, 174, 28]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,95}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(493, 255, F4, 33) (dual of [255, 162, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,101}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  4. linear OA(469, 255, F4, 23) (dual of [255, 186, 24]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,95}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  5. linear OA(48, 19, F4, 5) (dual of [19, 11, 6]-code), using
    • construction X applied to Ce(4) ⊂ Ce(2) [i] based on
      1. linear OA(47, 16, F4, 5) (dual of [16, 9, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
      2. linear OA(45, 16, F4, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
      3. linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
  6. linear OA(44, 12, F4, 3) (dual of [12, 8, 4]-code or 12-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

None.